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Finding the Fourth Proportional to 1,077.63, 1,616.71 and 308.13

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Solution

The fourth proportional to 1,077.63, 1,616.71 and 308.13 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.63 : 1,616.71 = 308.13 : x
  2. Step 2: Convert to fraction form
    1,077.63/1,616.71 = 308.13/x
  3. Step 3: Cross multiply
    1,077.63x = 1,616.71 × 308.13
  4. Step 4: Simplify right side
    1,077.63x = 498,156.85
  5. Step 5: Solve for x
    x = 498,156.85/1,077.63
  6. Step 6: Final answer
    x = 462.27

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Double scale
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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.