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Finding the Fourth Proportional to 709.68, 1,062.24 and 379.79

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Solution

The fourth proportional to 709.68, 1,062.24 and 379.79 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 1,062.24 = 379.79 : x
  2. Step 2: Convert to fraction form
    709.68/1,062.24 = 379.79/x
  3. Step 3: Cross multiply
    709.68x = 1,062.24 × 379.79
  4. Step 4: Simplify right side
    709.68x = 403,430.93
  5. Step 5: Solve for x
    x = 403,430.93/709.68
  6. Step 6: Final answer
    x = 568.47

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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.