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Finding the Fourth Proportional to 709.98, 1,063.14 and 491.28

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Solution

The fourth proportional to 709.98, 1,063.14 and 491.28 is: 735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 1,063.14 = 491.28 : x
  2. Step 2: Convert to fraction form
    709.98/1,063.14 = 491.28/x
  3. Step 3: Cross multiply
    709.98x = 1,063.14 × 491.28
  4. Step 4: Simplify right side
    709.98x = 522,299.42
  5. Step 5: Solve for x
    x = 522,299.42/709.98
  6. Step 6: Final answer
    x = 735.65

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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.