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Finding the Fourth Proportional to 1,086.23, 1,499.15 and 666.61

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Solution

The fourth proportional to 1,086.23, 1,499.15 and 666.61 is: 920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,499.15 = 666.61 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,499.15 = 666.61/x
  3. Step 3: Cross multiply
    1,086.23x = 1,499.15 × 666.61
  4. Step 4: Simplify right side
    1,086.23x = 999,348.38
  5. Step 5: Solve for x
    x = 999,348.38/1,086.23
  6. Step 6: Final answer
    x = 920.02

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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.