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Finding the Fourth Proportional to 981.59, 1,353.21 and 666.86

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Solution

The fourth proportional to 981.59, 1,353.21 and 666.86 is: 919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.59 : 1,353.21 = 666.86 : x
  2. Step 2: Convert to fraction form
    981.59/1,353.21 = 666.86/x
  3. Step 3: Cross multiply
    981.59x = 1,353.21 × 666.86
  4. Step 4: Simplify right side
    981.59x = 902,404.72
  5. Step 5: Solve for x
    x = 902,404.72/981.59
  6. Step 6: Final answer
    x = 919.33

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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.