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Finding the Fourth Proportional to 648.78, 966.92 and 647.76

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Solution

The fourth proportional to 648.78, 966.92 and 647.76 is: 965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 966.92 = 647.76 : x
  2. Step 2: Convert to fraction form
    648.78/966.92 = 647.76/x
  3. Step 3: Cross multiply
    648.78x = 966.92 × 647.76
  4. Step 4: Simplify right side
    648.78x = 626,332.10
  5. Step 5: Solve for x
    x = 626,332.10/648.78
  6. Step 6: Final answer
    x = 965.40

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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.