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Finding the Fourth Proportional to 669.62, 1,002.04 and 566.60

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Solution

The fourth proportional to 669.62, 1,002.04 and 566.60 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.62 : 1,002.04 = 566.60 : x
  2. Step 2: Convert to fraction form
    669.62/1,002.04 = 566.60/x
  3. Step 3: Cross multiply
    669.62x = 1,002.04 × 566.60
  4. Step 4: Simplify right side
    669.62x = 567,749.44
  5. Step 5: Solve for x
    x = 567,749.44/669.62
  6. Step 6: Final answer
    x = 847.86

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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.