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Finding the Fourth Proportional to 1,134.54, 1,565.78 and 762.30

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Solution

The fourth proportional to 1,134.54, 1,565.78 and 762.30 is: 1,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.54 : 1,565.78 = 762.30 : x
  2. Step 2: Convert to fraction form
    1,134.54/1,565.78 = 762.30/x
  3. Step 3: Cross multiply
    1,134.54x = 1,565.78 × 762.30
  4. Step 4: Simplify right side
    1,134.54x = 1,193,590.28
  5. Step 5: Solve for x
    x = 1,193,590.28/1,134.54
  6. Step 6: Final answer
    x = 1,052.05

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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.