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Finding the Fourth Proportional to 669.32, 1,002.46 and 475.16

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Solution

The fourth proportional to 669.32, 1,002.46 and 475.16 is: 711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 1,002.46 = 475.16 : x
  2. Step 2: Convert to fraction form
    669.32/1,002.46 = 475.16/x
  3. Step 3: Cross multiply
    669.32x = 1,002.46 × 475.16
  4. Step 4: Simplify right side
    669.32x = 476,328.89
  5. Step 5: Solve for x
    x = 476,328.89/669.32
  6. Step 6: Final answer
    x = 711.66

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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.