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Finding the Fourth Proportional to 668.46, 1,001.33 and 545.50

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Solution

The fourth proportional to 668.46, 1,001.33 and 545.50 is: 817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.46 : 1,001.33 = 545.50 : x
  2. Step 2: Convert to fraction form
    668.46/1,001.33 = 545.50/x
  3. Step 3: Cross multiply
    668.46x = 1,001.33 × 545.50
  4. Step 4: Simplify right side
    668.46x = 546,225.52
  5. Step 5: Solve for x
    x = 546,225.52/668.46
  6. Step 6: Final answer
    x = 817.14

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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.