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Finding the Fourth Proportional to 668.18, 1,001.39 and 483.70

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Solution

The fourth proportional to 668.18, 1,001.39 and 483.70 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 1,001.39 = 483.70 : x
  2. Step 2: Convert to fraction form
    668.18/1,001.39 = 483.70/x
  3. Step 3: Cross multiply
    668.18x = 1,001.39 × 483.70
  4. Step 4: Simplify right side
    668.18x = 484,368.93
  5. Step 5: Solve for x
    x = 484,368.93/668.18
  6. Step 6: Final answer
    x = 724.91

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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.