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Finding the Fourth Proportional to 714.92, 1,066.62 and 636.95

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Solution

The fourth proportional to 714.92, 1,066.62 and 636.95 is: 950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,066.62 = 636.95 : x
  2. Step 2: Convert to fraction form
    714.92/1,066.62 = 636.95/x
  3. Step 3: Cross multiply
    714.92x = 1,066.62 × 636.95
  4. Step 4: Simplify right side
    714.92x = 679,385.20
  5. Step 5: Solve for x
    x = 679,385.20/714.92
  6. Step 6: Final answer
    x = 950.30

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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.