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Finding the Fourth Proportional to 1,045.10, 1,442.48 and 691.09

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Solution

The fourth proportional to 1,045.10, 1,442.48 and 691.09 is: 953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.10 : 1,442.48 = 691.09 : x
  2. Step 2: Convert to fraction form
    1,045.10/1,442.48 = 691.09/x
  3. Step 3: Cross multiply
    1,045.10x = 1,442.48 × 691.09
  4. Step 4: Simplify right side
    1,045.10x = 996,876.44
  5. Step 5: Solve for x
    x = 996,876.44/1,045.10
  6. Step 6: Final answer
    x = 953.86

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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.