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Finding the Fourth Proportional to 647.40, 966.71 and 508.89

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Solution

The fourth proportional to 647.40, 966.71 and 508.89 is: 759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 966.71 = 508.89 : x
  2. Step 2: Convert to fraction form
    647.40/966.71 = 508.89/x
  3. Step 3: Cross multiply
    647.40x = 966.71 × 508.89
  4. Step 4: Simplify right side
    647.40x = 491,949.05
  5. Step 5: Solve for x
    x = 491,949.05/647.40
  6. Step 6: Final answer
    x = 759.88

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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.