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Finding the Fourth Proportional to 714.34, 1,071.69 and 633.70

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Solution

The fourth proportional to 714.34, 1,071.69 and 633.70 is: 950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 1,071.69 = 633.70 : x
  2. Step 2: Convert to fraction form
    714.34/1,071.69 = 633.70/x
  3. Step 3: Cross multiply
    714.34x = 1,071.69 × 633.70
  4. Step 4: Simplify right side
    714.34x = 679,129.95
  5. Step 5: Solve for x
    x = 679,129.95/714.34
  6. Step 6: Final answer
    x = 950.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.