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Finding the Fourth Proportional to 898.13, 1,344.27 and 812.87

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Solution

The fourth proportional to 898.13, 1,344.27 and 812.87 is: 1,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,344.27 = 812.87 : x
  2. Step 2: Convert to fraction form
    898.13/1,344.27 = 812.87/x
  3. Step 3: Cross multiply
    898.13x = 1,344.27 × 812.87
  4. Step 4: Simplify right side
    898.13x = 1,092,716.75
  5. Step 5: Solve for x
    x = 1,092,716.75/898.13
  6. Step 6: Final answer
    x = 1,216.66

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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.