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Finding the Fourth Proportional to 709.91, 1,064.47 and 271.14

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Solution

The fourth proportional to 709.91, 1,064.47 and 271.14 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.91 : 1,064.47 = 271.14 : x
  2. Step 2: Convert to fraction form
    709.91/1,064.47 = 271.14/x
  3. Step 3: Cross multiply
    709.91x = 1,064.47 × 271.14
  4. Step 4: Simplify right side
    709.91x = 288,620.40
  5. Step 5: Solve for x
    x = 288,620.40/709.91
  6. Step 6: Final answer
    x = 406.56

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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.