Home / 1,116.38-1,541.22-780.77

Finding the Fourth Proportional to 1,116.38, 1,541.22 and 780.77

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Solution

The fourth proportional to 1,116.38, 1,541.22 and 780.77 is: 1,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.38 : 1,541.22 = 780.77 : x
  2. Step 2: Convert to fraction form
    1,116.38/1,541.22 = 780.77/x
  3. Step 3: Cross multiply
    1,116.38x = 1,541.22 × 780.77
  4. Step 4: Simplify right side
    1,116.38x = 1,203,338.34
  5. Step 5: Solve for x
    x = 1,203,338.34/1,116.38
  6. Step 6: Final answer
    x = 1,077.89

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1.5x scale

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.