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Finding the Fourth Proportional to 1,460.76, 2,015.85 and 901.09

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Solution

The fourth proportional to 1,460.76, 2,015.85 and 901.09 is: 1,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.76 : 2,015.85 = 901.09 : x
  2. Step 2: Convert to fraction form
    1,460.76/2,015.85 = 901.09/x
  3. Step 3: Cross multiply
    1,460.76x = 2,015.85 × 901.09
  4. Step 4: Simplify right side
    1,460.76x = 1,816,462.28
  5. Step 5: Solve for x
    x = 1,816,462.28/1,460.76
  6. Step 6: Final answer
    x = 1,243.50

Related Problems

Find fourth proportional to 730.38, 1,007.93 and 450.55
Half scale
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Double scale
Find fourth proportional to 1,461.76, 2,017.23 and 902.09
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.