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Finding the Fourth Proportional to 632.67, 947.27 and 478.13

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Solution

The fourth proportional to 632.67, 947.27 and 478.13 is: 715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 947.27 = 478.13 : x
  2. Step 2: Convert to fraction form
    632.67/947.27 = 478.13/x
  3. Step 3: Cross multiply
    632.67x = 947.27 × 478.13
  4. Step 4: Simplify right side
    632.67x = 452,918.21
  5. Step 5: Solve for x
    x = 452,918.21/632.67
  6. Step 6: Final answer
    x = 715.88

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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.