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Finding the Fourth Proportional to 669.12, 922.40 and 472

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Solution

The fourth proportional to 669.12, 922.40 and 472 is: 650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 922.40 = 472 : x
  2. Step 2: Convert to fraction form
    669.12/922.40 = 472/x
  3. Step 3: Cross multiply
    669.12x = 922.40 × 472
  4. Step 4: Simplify right side
    669.12x = 435,372.80
  5. Step 5: Solve for x
    x = 435,372.80/669.12
  6. Step 6: Final answer
    x = 650.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.