Home / 1,115.08-1,540.56-767.62

Finding the Fourth Proportional to 1,115.08, 1,540.56 and 767.62

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Solution

The fourth proportional to 1,115.08, 1,540.56 and 767.62 is: 1,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.08 : 1,540.56 = 767.62 : x
  2. Step 2: Convert to fraction form
    1,115.08/1,540.56 = 767.62/x
  3. Step 3: Cross multiply
    1,115.08x = 1,540.56 × 767.62
  4. Step 4: Simplify right side
    1,115.08x = 1,182,564.67
  5. Step 5: Solve for x
    x = 1,182,564.67/1,115.08
  6. Step 6: Final answer
    x = 1,060.52

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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.