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Finding the Fourth Proportional to 713.14, 981.05 and 581.86

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Solution

The fourth proportional to 713.14, 981.05 and 581.86 is: 800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 981.05 = 581.86 : x
  2. Step 2: Convert to fraction form
    713.14/981.05 = 581.86/x
  3. Step 3: Cross multiply
    713.14x = 981.05 × 581.86
  4. Step 4: Simplify right side
    713.14x = 570,833.75
  5. Step 5: Solve for x
    x = 570,833.75/713.14
  6. Step 6: Final answer
    x = 800.45

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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.