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Finding the Fourth Proportional to 718.48, 1,077.66 and 224.88

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Solution

The fourth proportional to 718.48, 1,077.66 and 224.88 is: 337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.48 : 1,077.66 = 224.88 : x
  2. Step 2: Convert to fraction form
    718.48/1,077.66 = 224.88/x
  3. Step 3: Cross multiply
    718.48x = 1,077.66 × 224.88
  4. Step 4: Simplify right side
    718.48x = 242,344.18
  5. Step 5: Solve for x
    x = 242,344.18/718.48
  6. Step 6: Final answer
    x = 337.30

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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.