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Finding the Fourth Proportional to 1,079.71, 1,489.96 and 631.67

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Solution

The fourth proportional to 1,079.71, 1,489.96 and 631.67 is: 871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.71 : 1,489.96 = 631.67 : x
  2. Step 2: Convert to fraction form
    1,079.71/1,489.96 = 631.67/x
  3. Step 3: Cross multiply
    1,079.71x = 1,489.96 × 631.67
  4. Step 4: Simplify right side
    1,079.71x = 941,165.18
  5. Step 5: Solve for x
    x = 941,165.18/1,079.71
  6. Step 6: Final answer
    x = 871.69

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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.