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Finding the Fourth Proportional to 642.66, 965.31 and 496.71

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Solution

The fourth proportional to 642.66, 965.31 and 496.71 is: 746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.66 : 965.31 = 496.71 : x
  2. Step 2: Convert to fraction form
    642.66/965.31 = 496.71/x
  3. Step 3: Cross multiply
    642.66x = 965.31 × 496.71
  4. Step 4: Simplify right side
    642.66x = 479,479.13
  5. Step 5: Solve for x
    x = 479,479.13/642.66
  6. Step 6: Final answer
    x = 746.09

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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.