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Finding the Fourth Proportional to 898.98, 1,342.11 and 769.02

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Solution

The fourth proportional to 898.98, 1,342.11 and 769.02 is: 1,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.98 : 1,342.11 = 769.02 : x
  2. Step 2: Convert to fraction form
    898.98/1,342.11 = 769.02/x
  3. Step 3: Cross multiply
    898.98x = 1,342.11 × 769.02
  4. Step 4: Simplify right side
    898.98x = 1,032,109.43
  5. Step 5: Solve for x
    x = 1,032,109.43/898.98
  6. Step 6: Final answer
    x = 1,148.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.