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Finding the Fourth Proportional to 669.40, 1,003.20 and 476.80

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Solution

The fourth proportional to 669.40, 1,003.20 and 476.80 is: 714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.40 : 1,003.20 = 476.80 : x
  2. Step 2: Convert to fraction form
    669.40/1,003.20 = 476.80/x
  3. Step 3: Cross multiply
    669.40x = 1,003.20 × 476.80
  4. Step 4: Simplify right side
    669.40x = 478,325.76
  5. Step 5: Solve for x
    x = 478,325.76/669.40
  6. Step 6: Final answer
    x = 714.56

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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.