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Finding the Fourth Proportional to 669.12, 1,001.76 and 411.84

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Solution

The fourth proportional to 669.12, 1,001.76 and 411.84 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 1,001.76 = 411.84 : x
  2. Step 2: Convert to fraction form
    669.12/1,001.76 = 411.84/x
  3. Step 3: Cross multiply
    669.12x = 1,001.76 × 411.84
  4. Step 4: Simplify right side
    669.12x = 412,564.84
  5. Step 5: Solve for x
    x = 412,564.84/669.12
  6. Step 6: Final answer
    x = 616.58

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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.