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Finding the Fourth Proportional to 1,115.55, 1,538.96 and 784.19

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Solution

The fourth proportional to 1,115.55, 1,538.96 and 784.19 is: 1,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.55 : 1,538.96 = 784.19 : x
  2. Step 2: Convert to fraction form
    1,115.55/1,538.96 = 784.19/x
  3. Step 3: Cross multiply
    1,115.55x = 1,538.96 × 784.19
  4. Step 4: Simplify right side
    1,115.55x = 1,206,842.85
  5. Step 5: Solve for x
    x = 1,206,842.85/1,115.55
  6. Step 6: Final answer
    x = 1,081.84

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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.