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Finding the Fourth Proportional to 898.86, 1,237.91 and 742.13

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Solution

The fourth proportional to 898.86, 1,237.91 and 742.13 is: 1,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.86 : 1,237.91 = 742.13 : x
  2. Step 2: Convert to fraction form
    898.86/1,237.91 = 742.13/x
  3. Step 3: Cross multiply
    898.86x = 1,237.91 × 742.13
  4. Step 4: Simplify right side
    898.86x = 918,680.25
  5. Step 5: Solve for x
    x = 918,680.25/898.86
  6. Step 6: Final answer
    x = 1,022.05

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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.