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Finding the Fourth Proportional to 691.57, 955.34 and 666.31

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Solution

The fourth proportional to 691.57, 955.34 and 666.31 is: 920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.57 : 955.34 = 666.31 : x
  2. Step 2: Convert to fraction form
    691.57/955.34 = 666.31/x
  3. Step 3: Cross multiply
    691.57x = 955.34 × 666.31
  4. Step 4: Simplify right side
    691.57x = 636,551.87
  5. Step 5: Solve for x
    x = 636,551.87/691.57
  6. Step 6: Final answer
    x = 920.45

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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.