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Finding the Fourth Proportional to 520.10, 717.85 and 354.38

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Solution

The fourth proportional to 520.10, 717.85 and 354.38 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 717.85 = 354.38 : x
  2. Step 2: Convert to fraction form
    520.10/717.85 = 354.38/x
  3. Step 3: Cross multiply
    520.10x = 717.85 × 354.38
  4. Step 4: Simplify right side
    520.10x = 254,387.87
  5. Step 5: Solve for x
    x = 254,387.87/520.10
  6. Step 6: Final answer
    x = 489.12

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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.