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Finding the Fourth Proportional to 1,077.20, 1,616.15 and 884.32

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Solution

The fourth proportional to 1,077.20, 1,616.15 and 884.32 is: 1,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.20 : 1,616.15 = 884.32 : x
  2. Step 2: Convert to fraction form
    1,077.20/1,616.15 = 884.32/x
  3. Step 3: Cross multiply
    1,077.20x = 1,616.15 × 884.32
  4. Step 4: Simplify right side
    1,077.20x = 1,429,191.94
  5. Step 5: Solve for x
    x = 1,429,191.94/1,077.20
  6. Step 6: Final answer
    x = 1,326.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.