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Finding the Fourth Proportional to 646.88, 966.59 and 487.53

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Solution

The fourth proportional to 646.88, 966.59 and 487.53 is: 728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 966.59 = 487.53 : x
  2. Step 2: Convert to fraction form
    646.88/966.59 = 487.53/x
  3. Step 3: Cross multiply
    646.88x = 966.59 × 487.53
  4. Step 4: Simplify right side
    646.88x = 471,239.19
  5. Step 5: Solve for x
    x = 471,239.19/646.88
  6. Step 6: Final answer
    x = 728.49

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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.