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Finding the Fourth Proportional to 757.14, 1,135.71 and 468.78

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Solution

The fourth proportional to 757.14, 1,135.71 and 468.78 is: 703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.14 : 1,135.71 = 468.78 : x
  2. Step 2: Convert to fraction form
    757.14/1,135.71 = 468.78/x
  3. Step 3: Cross multiply
    757.14x = 1,135.71 × 468.78
  4. Step 4: Simplify right side
    757.14x = 532,398.13
  5. Step 5: Solve for x
    x = 532,398.13/757.14
  6. Step 6: Final answer
    x = 703.17

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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.