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Finding the Fourth Proportional to 1,385.12, 2,078.04 and 615.44

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Solution

The fourth proportional to 1,385.12, 2,078.04 and 615.44 is: 923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.12 : 2,078.04 = 615.44 : x
  2. Step 2: Convert to fraction form
    1,385.12/2,078.04 = 615.44/x
  3. Step 3: Cross multiply
    1,385.12x = 2,078.04 × 615.44
  4. Step 4: Simplify right side
    1,385.12x = 1,278,908.94
  5. Step 5: Solve for x
    x = 1,278,908.94/1,385.12
  6. Step 6: Final answer
    x = 923.32

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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.