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Finding the Fourth Proportional to 898.58, 1,237.92 and 723.62

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Solution

The fourth proportional to 898.58, 1,237.92 and 723.62 is: 996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.58 : 1,237.92 = 723.62 : x
  2. Step 2: Convert to fraction form
    898.58/1,237.92 = 723.62/x
  3. Step 3: Cross multiply
    898.58x = 1,237.92 × 723.62
  4. Step 4: Simplify right side
    898.58x = 895,777.48
  5. Step 5: Solve for x
    x = 895,777.48/898.58
  6. Step 6: Final answer
    x = 996.89

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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.