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Finding the Fourth Proportional to 668.72, 921.68 and 471.76

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Solution

The fourth proportional to 668.72, 921.68 and 471.76 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 921.68 = 471.76 : x
  2. Step 2: Convert to fraction form
    668.72/921.68 = 471.76/x
  3. Step 3: Cross multiply
    668.72x = 921.68 × 471.76
  4. Step 4: Simplify right side
    668.72x = 434,811.76
  5. Step 5: Solve for x
    x = 434,811.76/668.72
  6. Step 6: Final answer
    x = 650.21

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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.