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Finding the Fourth Proportional to 1,204.67, 1,807.31 and 1,043.69

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Solution

The fourth proportional to 1,204.67, 1,807.31 and 1,043.69 is: 1,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.67 : 1,807.31 = 1,043.69 : x
  2. Step 2: Convert to fraction form
    1,204.67/1,807.31 = 1,043.69/x
  3. Step 3: Cross multiply
    1,204.67x = 1,807.31 × 1,043.69
  4. Step 4: Simplify right side
    1,204.67x = 1,886,264.95
  5. Step 5: Solve for x
    x = 1,886,264.95/1,204.67
  6. Step 6: Final answer
    x = 1,565.79

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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.