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Finding the Fourth Proportional to 1,046.12, 1,569.02 and 461.25

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Solution

The fourth proportional to 1,046.12, 1,569.02 and 461.25 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.12 : 1,569.02 = 461.25 : x
  2. Step 2: Convert to fraction form
    1,046.12/1,569.02 = 461.25/x
  3. Step 3: Cross multiply
    1,046.12x = 1,569.02 × 461.25
  4. Step 4: Simplify right side
    1,046.12x = 723,708.17
  5. Step 5: Solve for x
    x = 723,708.17/1,046.12
  6. Step 6: Final answer
    x = 691.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.