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Finding the Fourth Proportional to 709.73, 1,063.40 and 450.02

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Solution

The fourth proportional to 709.73, 1,063.40 and 450.02 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 1,063.40 = 450.02 : x
  2. Step 2: Convert to fraction form
    709.73/1,063.40 = 450.02/x
  3. Step 3: Cross multiply
    709.73x = 1,063.40 × 450.02
  4. Step 4: Simplify right side
    709.73x = 478,551.68
  5. Step 5: Solve for x
    x = 478,551.68/709.73
  6. Step 6: Final answer
    x = 674.28

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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.