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Finding the Fourth Proportional to 1,458.76, 2,013.16 and 829.08

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Solution

The fourth proportional to 1,458.76, 2,013.16 and 829.08 is: 1,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.76 : 2,013.16 = 829.08 : x
  2. Step 2: Convert to fraction form
    1,458.76/2,013.16 = 829.08/x
  3. Step 3: Cross multiply
    1,458.76x = 2,013.16 × 829.08
  4. Step 4: Simplify right side
    1,458.76x = 1,669,070.69
  5. Step 5: Solve for x
    x = 1,669,070.69/1,458.76
  6. Step 6: Final answer
    x = 1,144.17

Related Problems

Find fourth proportional to 729.38, 1,006.58 and 414.54
Half scale
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Double scale
Find fourth proportional to 1,459.76, 2,014.54 and 830.08
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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.