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Finding the Fourth Proportional to 1,204.57, 1,661.01 and 1,045.85

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Solution

The fourth proportional to 1,204.57, 1,661.01 and 1,045.85 is: 1,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.57 : 1,661.01 = 1,045.85 : x
  2. Step 2: Convert to fraction form
    1,204.57/1,661.01 = 1,045.85/x
  3. Step 3: Cross multiply
    1,204.57x = 1,661.01 × 1,045.85
  4. Step 4: Simplify right side
    1,204.57x = 1,737,155.08
  5. Step 5: Solve for x
    x = 1,737,155.08/1,204.57
  6. Step 6: Final answer
    x = 1,442.14

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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.