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Finding the Fourth Proportional to 478.14, 713.00 and 440.27

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Solution

The fourth proportional to 478.14, 713.00 and 440.27 is: 656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.14 : 713.00 = 440.27 : x
  2. Step 2: Convert to fraction form
    478.14/713.00 = 440.27/x
  3. Step 3: Cross multiply
    478.14x = 713.00 × 440.27
  4. Step 4: Simplify right side
    478.14x = 313,915.73
  5. Step 5: Solve for x
    x = 313,915.73/478.14
  6. Step 6: Final answer
    x = 656.53

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.