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Finding the Fourth Proportional to 1,062.79, 1,466.75 and 748.82

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Solution

The fourth proportional to 1,062.79, 1,466.75 and 748.82 is: 1,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.79 : 1,466.75 = 748.82 : x
  2. Step 2: Convert to fraction form
    1,062.79/1,466.75 = 748.82/x
  3. Step 3: Cross multiply
    1,062.79x = 1,466.75 × 748.82
  4. Step 4: Simplify right side
    1,062.79x = 1,098,326.27
  5. Step 5: Solve for x
    x = 1,098,326.27/1,062.79
  6. Step 6: Final answer
    x = 1,033.44

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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.