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Finding the Fourth Proportional to 762.27, 1,140.93 and 414.78

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Solution

The fourth proportional to 762.27, 1,140.93 and 414.78 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.27 : 1,140.93 = 414.78 : x
  2. Step 2: Convert to fraction form
    762.27/1,140.93 = 414.78/x
  3. Step 3: Cross multiply
    762.27x = 1,140.93 × 414.78
  4. Step 4: Simplify right side
    762.27x = 473,234.95
  5. Step 5: Solve for x
    x = 473,234.95/762.27
  6. Step 6: Final answer
    x = 620.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.