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Finding the Fourth Proportional to 898.90, 1,235.21 and 732.76

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Solution

The fourth proportional to 898.90, 1,235.21 and 732.76 is: 1,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.90 : 1,235.21 = 732.76 : x
  2. Step 2: Convert to fraction form
    898.90/1,235.21 = 732.76/x
  3. Step 3: Cross multiply
    898.90x = 1,235.21 × 732.76
  4. Step 4: Simplify right side
    898.90x = 905,112.48
  5. Step 5: Solve for x
    x = 905,112.48/898.90
  6. Step 6: Final answer
    x = 1,006.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.