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Finding the Fourth Proportional to 709.47, 1,063.86 and 270.74

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Solution

The fourth proportional to 709.47, 1,063.86 and 270.74 is: 405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 1,063.86 = 270.74 : x
  2. Step 2: Convert to fraction form
    709.47/1,063.86 = 270.74/x
  3. Step 3: Cross multiply
    709.47x = 1,063.86 × 270.74
  4. Step 4: Simplify right side
    709.47x = 288,029.46
  5. Step 5: Solve for x
    x = 288,029.46/709.47
  6. Step 6: Final answer
    x = 405.98

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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.