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Finding the Fourth Proportional to 1,086.86, 1,500.59 and 688.66

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Solution

The fourth proportional to 1,086.86, 1,500.59 and 688.66 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.86 : 1,500.59 = 688.66 : x
  2. Step 2: Convert to fraction form
    1,086.86/1,500.59 = 688.66/x
  3. Step 3: Cross multiply
    1,086.86x = 1,500.59 × 688.66
  4. Step 4: Simplify right side
    1,086.86x = 1,033,394.28
  5. Step 5: Solve for x
    x = 1,033,394.28/1,086.86
  6. Step 6: Final answer
    x = 950.80

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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.