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Finding the Fourth Proportional to 1,077.15, 1,486.04 and 634.89

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Solution

The fourth proportional to 1,077.15, 1,486.04 and 634.89 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.15 : 1,486.04 = 634.89 : x
  2. Step 2: Convert to fraction form
    1,077.15/1,486.04 = 634.89/x
  3. Step 3: Cross multiply
    1,077.15x = 1,486.04 × 634.89
  4. Step 4: Simplify right side
    1,077.15x = 943,468.76
  5. Step 5: Solve for x
    x = 943,468.76/1,077.15
  6. Step 6: Final answer
    x = 875.89

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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.