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Finding the Fourth Proportional to 1,103.91, 1,655.87 and 282.18

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Solution

The fourth proportional to 1,103.91, 1,655.87 and 282.18 is: 423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.91 : 1,655.87 = 282.18 : x
  2. Step 2: Convert to fraction form
    1,103.91/1,655.87 = 282.18/x
  3. Step 3: Cross multiply
    1,103.91x = 1,655.87 × 282.18
  4. Step 4: Simplify right side
    1,103.91x = 467,262.40
  5. Step 5: Solve for x
    x = 467,262.40/1,103.91
  6. Step 6: Final answer
    x = 423.28

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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.