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Finding the Fourth Proportional to 1,086.13, 1,499.54 and 836.98

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Solution

The fourth proportional to 1,086.13, 1,499.54 and 836.98 is: 1,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.13 : 1,499.54 = 836.98 : x
  2. Step 2: Convert to fraction form
    1,086.13/1,499.54 = 836.98/x
  3. Step 3: Cross multiply
    1,086.13x = 1,499.54 × 836.98
  4. Step 4: Simplify right side
    1,086.13x = 1,255,084.99
  5. Step 5: Solve for x
    x = 1,255,084.99/1,086.13
  6. Step 6: Final answer
    x = 1,155.56

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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.