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Finding the Fourth Proportional to 709.67, 1,064.36 and 247.47

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Solution

The fourth proportional to 709.67, 1,064.36 and 247.47 is: 371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 1,064.36 = 247.47 : x
  2. Step 2: Convert to fraction form
    709.67/1,064.36 = 247.47/x
  3. Step 3: Cross multiply
    709.67x = 1,064.36 × 247.47
  4. Step 4: Simplify right side
    709.67x = 263,390.61
  5. Step 5: Solve for x
    x = 263,390.61/709.67
  6. Step 6: Final answer
    x = 371.15

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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.