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Finding the Fourth Proportional to 742.87, 1,025.16 and 411.38

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Solution

The fourth proportional to 742.87, 1,025.16 and 411.38 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,025.16 = 411.38 : x
  2. Step 2: Convert to fraction form
    742.87/1,025.16 = 411.38/x
  3. Step 3: Cross multiply
    742.87x = 1,025.16 × 411.38
  4. Step 4: Simplify right side
    742.87x = 421,727.50
  5. Step 5: Solve for x
    x = 421,727.50/742.87
  6. Step 6: Final answer
    x = 567.70

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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.