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Finding the Fourth Proportional to 668.41, 1,001.70 and 560.27

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Solution

The fourth proportional to 668.41, 1,001.70 and 560.27 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.41 : 1,001.70 = 560.27 : x
  2. Step 2: Convert to fraction form
    668.41/1,001.70 = 560.27/x
  3. Step 3: Cross multiply
    668.41x = 1,001.70 × 560.27
  4. Step 4: Simplify right side
    668.41x = 561,224.96
  5. Step 5: Solve for x
    x = 561,224.96/668.41
  6. Step 6: Final answer
    x = 839.64

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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.