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Finding the Fourth Proportional to 520.30, 718.01 and 284.24

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Solution

The fourth proportional to 520.30, 718.01 and 284.24 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 718.01 = 284.24 : x
  2. Step 2: Convert to fraction form
    520.30/718.01 = 284.24/x
  3. Step 3: Cross multiply
    520.30x = 718.01 × 284.24
  4. Step 4: Simplify right side
    520.30x = 204,087.13
  5. Step 5: Solve for x
    x = 204,087.13/520.30
  6. Step 6: Final answer
    x = 392.25

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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.