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Finding the Fourth Proportional to 765.95, 1,146.70 and 475.43

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Solution

The fourth proportional to 765.95, 1,146.70 and 475.43 is: 711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.95 : 1,146.70 = 475.43 : x
  2. Step 2: Convert to fraction form
    765.95/1,146.70 = 475.43/x
  3. Step 3: Cross multiply
    765.95x = 1,146.70 × 475.43
  4. Step 4: Simplify right side
    765.95x = 545,175.58
  5. Step 5: Solve for x
    x = 545,175.58/765.95
  6. Step 6: Final answer
    x = 711.76

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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.