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Finding the Fourth Proportional to 898.32, 1,344.92 and 693.29

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Solution

The fourth proportional to 898.32, 1,344.92 and 693.29 is: 1,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.32 : 1,344.92 = 693.29 : x
  2. Step 2: Convert to fraction form
    898.32/1,344.92 = 693.29/x
  3. Step 3: Cross multiply
    898.32x = 1,344.92 × 693.29
  4. Step 4: Simplify right side
    898.32x = 932,423.38
  5. Step 5: Solve for x
    x = 932,423.38/898.32
  6. Step 6: Final answer
    x = 1,037.96

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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.