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Finding the Fourth Proportional to 805.14, 1,207.71 and 532.96

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Solution

The fourth proportional to 805.14, 1,207.71 and 532.96 is: 799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.14 : 1,207.71 = 532.96 : x
  2. Step 2: Convert to fraction form
    805.14/1,207.71 = 532.96/x
  3. Step 3: Cross multiply
    805.14x = 1,207.71 × 532.96
  4. Step 4: Simplify right side
    805.14x = 643,658.10
  5. Step 5: Solve for x
    x = 643,658.10/805.14
  6. Step 6: Final answer
    x = 799.44

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