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Finding the Fourth Proportional to 757.19, 1,135.50 and 410.78

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Solution

The fourth proportional to 757.19, 1,135.50 and 410.78 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.19 : 1,135.50 = 410.78 : x
  2. Step 2: Convert to fraction form
    757.19/1,135.50 = 410.78/x
  3. Step 3: Cross multiply
    757.19x = 1,135.50 × 410.78
  4. Step 4: Simplify right side
    757.19x = 466,440.69
  5. Step 5: Solve for x
    x = 466,440.69/757.19
  6. Step 6: Final answer
    x = 616.02

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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.