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Finding the Fourth Proportional to 1,077.42, 1,486.78 and 635.30

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Solution

The fourth proportional to 1,077.42, 1,486.78 and 635.30 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.42 : 1,486.78 = 635.30 : x
  2. Step 2: Convert to fraction form
    1,077.42/1,486.78 = 635.30/x
  3. Step 3: Cross multiply
    1,077.42x = 1,486.78 × 635.30
  4. Step 4: Simplify right side
    1,077.42x = 944,551.33
  5. Step 5: Solve for x
    x = 944,551.33/1,077.42
  6. Step 6: Final answer
    x = 876.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.