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Finding the Fourth Proportional to 714.69, 1,067.04 and 632.88

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Solution

The fourth proportional to 714.69, 1,067.04 and 632.88 is: 944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 1,067.04 = 632.88 : x
  2. Step 2: Convert to fraction form
    714.69/1,067.04 = 632.88/x
  3. Step 3: Cross multiply
    714.69x = 1,067.04 × 632.88
  4. Step 4: Simplify right side
    714.69x = 675,308.28
  5. Step 5: Solve for x
    x = 675,308.28/714.69
  6. Step 6: Final answer
    x = 944.90

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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.