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Finding the Fourth Proportional to 762.80, 1,138.64 and 714.74

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Solution

The fourth proportional to 762.80, 1,138.64 and 714.74 is: 1,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.80 : 1,138.64 = 714.74 : x
  2. Step 2: Convert to fraction form
    762.80/1,138.64 = 714.74/x
  3. Step 3: Cross multiply
    762.80x = 1,138.64 × 714.74
  4. Step 4: Simplify right side
    762.80x = 813,822.29
  5. Step 5: Solve for x
    x = 813,822.29/762.80
  6. Step 6: Final answer
    x = 1,066.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.