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Finding the Fourth Proportional to 1,086.33, 1,626.75 and 599.79

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Solution

The fourth proportional to 1,086.33, 1,626.75 and 599.79 is: 898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.33 : 1,626.75 = 599.79 : x
  2. Step 2: Convert to fraction form
    1,086.33/1,626.75 = 599.79/x
  3. Step 3: Cross multiply
    1,086.33x = 1,626.75 × 599.79
  4. Step 4: Simplify right side
    1,086.33x = 975,708.38
  5. Step 5: Solve for x
    x = 975,708.38/1,086.33
  6. Step 6: Final answer
    x = 898.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.