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Finding the Fourth Proportional to 1,134.35, 1,566.39 and 780.18

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Solution

The fourth proportional to 1,134.35, 1,566.39 and 780.18 is: 1,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.35 : 1,566.39 = 780.18 : x
  2. Step 2: Convert to fraction form
    1,134.35/1,566.39 = 780.18/x
  3. Step 3: Cross multiply
    1,134.35x = 1,566.39 × 780.18
  4. Step 4: Simplify right side
    1,134.35x = 1,222,067.62
  5. Step 5: Solve for x
    x = 1,222,067.62/1,134.35
  6. Step 6: Final answer
    x = 1,077.32

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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.