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Finding the Fourth Proportional to 709.38, 977.91 and 460.61

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Solution

The fourth proportional to 709.38, 977.91 and 460.61 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 977.91 = 460.61 : x
  2. Step 2: Convert to fraction form
    709.38/977.91 = 460.61/x
  3. Step 3: Cross multiply
    709.38x = 977.91 × 460.61
  4. Step 4: Simplify right side
    709.38x = 450,437.57
  5. Step 5: Solve for x
    x = 450,437.57/709.38
  6. Step 6: Final answer
    x = 634.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.