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Finding the Fourth Proportional to 1,081.86, 1,493.65 and 750.17

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Solution

The fourth proportional to 1,081.86, 1,493.65 and 750.17 is: 1,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.86 : 1,493.65 = 750.17 : x
  2. Step 2: Convert to fraction form
    1,081.86/1,493.65 = 750.17/x
  3. Step 3: Cross multiply
    1,081.86x = 1,493.65 × 750.17
  4. Step 4: Simplify right side
    1,081.86x = 1,120,483.95
  5. Step 5: Solve for x
    x = 1,120,483.95/1,081.86
  6. Step 6: Final answer
    x = 1,035.70

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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.