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Finding the Fourth Proportional to 1,460.25, 2,015.28 and 839.25

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Solution

The fourth proportional to 1,460.25, 2,015.28 and 839.25 is: 1,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.25 : 2,015.28 = 839.25 : x
  2. Step 2: Convert to fraction form
    1,460.25/2,015.28 = 839.25/x
  3. Step 3: Cross multiply
    1,460.25x = 2,015.28 × 839.25
  4. Step 4: Simplify right side
    1,460.25x = 1,691,323.74
  5. Step 5: Solve for x
    x = 1,691,323.74/1,460.25
  6. Step 6: Final answer
    x = 1,158.24

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Double scale
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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.