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Finding the Fourth Proportional to 1,077.11, 1,486.42 and 703.86

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Solution

The fourth proportional to 1,077.11, 1,486.42 and 703.86 is: 971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.11 : 1,486.42 = 703.86 : x
  2. Step 2: Convert to fraction form
    1,077.11/1,486.42 = 703.86/x
  3. Step 3: Cross multiply
    1,077.11x = 1,486.42 × 703.86
  4. Step 4: Simplify right side
    1,077.11x = 1,046,231.58
  5. Step 5: Solve for x
    x = 1,046,231.58/1,077.11
  6. Step 6: Final answer
    x = 971.33

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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.