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Finding the Fourth Proportional to 691.10, 955.05 and 514.32

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Solution

The fourth proportional to 691.10, 955.05 and 514.32 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.10 : 955.05 = 514.32 : x
  2. Step 2: Convert to fraction form
    691.10/955.05 = 514.32/x
  3. Step 3: Cross multiply
    691.10x = 955.05 × 514.32
  4. Step 4: Simplify right side
    691.10x = 491,201.32
  5. Step 5: Solve for x
    x = 491,201.32/691.10
  6. Step 6: Final answer
    x = 710.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.