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Finding the Fourth Proportional to 1,077.29, 1,486.14 and 634.89

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Solution

The fourth proportional to 1,077.29, 1,486.14 and 634.89 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.29 : 1,486.14 = 634.89 : x
  2. Step 2: Convert to fraction form
    1,077.29/1,486.14 = 634.89/x
  3. Step 3: Cross multiply
    1,077.29x = 1,486.14 × 634.89
  4. Step 4: Simplify right side
    1,077.29x = 943,535.42
  5. Step 5: Solve for x
    x = 943,535.42/1,077.29
  6. Step 6: Final answer
    x = 875.85

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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.