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Finding the Fourth Proportional to 669.97, 924.09 and 471.22

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Solution

The fourth proportional to 669.97, 924.09 and 471.22 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.97 : 924.09 = 471.22 : x
  2. Step 2: Convert to fraction form
    669.97/924.09 = 471.22/x
  3. Step 3: Cross multiply
    669.97x = 924.09 × 471.22
  4. Step 4: Simplify right side
    669.97x = 435,452.48
  5. Step 5: Solve for x
    x = 435,452.48/669.97
  6. Step 6: Final answer
    x = 649.96

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Double scale
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1.5x scale

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.