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Finding the Fourth Proportional to 1,086.61, 1,628.61 and 500.81

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Solution

The fourth proportional to 1,086.61, 1,628.61 and 500.81 is: 750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.61 : 1,628.61 = 500.81 : x
  2. Step 2: Convert to fraction form
    1,086.61/1,628.61 = 500.81/x
  3. Step 3: Cross multiply
    1,086.61x = 1,628.61 × 500.81
  4. Step 4: Simplify right side
    1,086.61x = 815,622.92
  5. Step 5: Solve for x
    x = 815,622.92/1,086.61
  6. Step 6: Final answer
    x = 750.61

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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.