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Finding the Fourth Proportional to 898.07, 1,345.63 and 863.90

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Solution

The fourth proportional to 898.07, 1,345.63 and 863.90 is: 1,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.07 : 1,345.63 = 863.90 : x
  2. Step 2: Convert to fraction form
    898.07/1,345.63 = 863.90/x
  3. Step 3: Cross multiply
    898.07x = 1,345.63 × 863.90
  4. Step 4: Simplify right side
    898.07x = 1,162,489.76
  5. Step 5: Solve for x
    x = 1,162,489.76/898.07
  6. Step 6: Final answer
    x = 1,294.43

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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.