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Finding the Fourth Proportional to 1,077.42, 1,616.61 and 427.98

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Solution

The fourth proportional to 1,077.42, 1,616.61 and 427.98 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.42 : 1,616.61 = 427.98 : x
  2. Step 2: Convert to fraction form
    1,077.42/1,616.61 = 427.98/x
  3. Step 3: Cross multiply
    1,077.42x = 1,616.61 × 427.98
  4. Step 4: Simplify right side
    1,077.42x = 691,876.75
  5. Step 5: Solve for x
    x = 691,876.75/1,077.42
  6. Step 6: Final answer
    x = 642.16

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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.