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Finding the Fourth Proportional to 1,062.12, 1,452.71 and 1,045.11

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Solution

The fourth proportional to 1,062.12, 1,452.71 and 1,045.11 is: 1,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.12 : 1,452.71 = 1,045.11 : x
  2. Step 2: Convert to fraction form
    1,062.12/1,452.71 = 1,045.11/x
  3. Step 3: Cross multiply
    1,062.12x = 1,452.71 × 1,045.11
  4. Step 4: Simplify right side
    1,062.12x = 1,518,241.75
  5. Step 5: Solve for x
    x = 1,518,241.75/1,062.12
  6. Step 6: Final answer
    x = 1,429.44

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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.