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Finding the Fourth Proportional to 667.54, 921.42 and 471.52

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Solution

The fourth proportional to 667.54, 921.42 and 471.52 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.54 : 921.42 = 471.52 : x
  2. Step 2: Convert to fraction form
    667.54/921.42 = 471.52/x
  3. Step 3: Cross multiply
    667.54x = 921.42 × 471.52
  4. Step 4: Simplify right side
    667.54x = 434,467.96
  5. Step 5: Solve for x
    x = 434,467.96/667.54
  6. Step 6: Final answer
    x = 650.85

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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.