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Finding the Fourth Proportional to 1,077.62, 1,616.69 and 308.12

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Solution

The fourth proportional to 1,077.62, 1,616.69 and 308.12 is: 462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.62 : 1,616.69 = 308.12 : x
  2. Step 2: Convert to fraction form
    1,077.62/1,616.69 = 308.12/x
  3. Step 3: Cross multiply
    1,077.62x = 1,616.69 × 308.12
  4. Step 4: Simplify right side
    1,077.62x = 498,124.90
  5. Step 5: Solve for x
    x = 498,124.90/1,077.62
  6. Step 6: Final answer
    x = 462.25

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1.5x scale

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.