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Finding the Fourth Proportional to 520.47, 784.28 and 431.17

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Solution

The fourth proportional to 520.47, 784.28 and 431.17 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 784.28 = 431.17 : x
  2. Step 2: Convert to fraction form
    520.47/784.28 = 431.17/x
  3. Step 3: Cross multiply
    520.47x = 784.28 × 431.17
  4. Step 4: Simplify right side
    520.47x = 338,158.01
  5. Step 5: Solve for x
    x = 338,158.01/520.47
  6. Step 6: Final answer
    x = 649.72

Related Problems

Find fourth proportional to 260.24, 392.14 and 215.59
Half scale
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Double scale
Find fourth proportional to 521.47, 785.79 and 432.17
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.