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Finding the Fourth Proportional to 701.76, 1,052.13 and 331.59

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Solution

The fourth proportional to 701.76, 1,052.13 and 331.59 is: 497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.76 : 1,052.13 = 331.59 : x
  2. Step 2: Convert to fraction form
    701.76/1,052.13 = 331.59/x
  3. Step 3: Cross multiply
    701.76x = 1,052.13 × 331.59
  4. Step 4: Simplify right side
    701.76x = 348,875.79
  5. Step 5: Solve for x
    x = 348,875.79/701.76
  6. Step 6: Final answer
    x = 497.14

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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.