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Finding the Fourth Proportional to 709.56, 979.38 and 477.18

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Solution

The fourth proportional to 709.56, 979.38 and 477.18 is: 658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 979.38 = 477.18 : x
  2. Step 2: Convert to fraction form
    709.56/979.38 = 477.18/x
  3. Step 3: Cross multiply
    709.56x = 979.38 × 477.18
  4. Step 4: Simplify right side
    709.56x = 467,340.55
  5. Step 5: Solve for x
    x = 467,340.55/709.56
  6. Step 6: Final answer
    x = 658.63

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Half scale
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Double scale
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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.