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Finding the Fourth Proportional to 1,149.17, 1,722.78 and 456.33

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Solution

The fourth proportional to 1,149.17, 1,722.78 and 456.33 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.17 : 1,722.78 = 456.33 : x
  2. Step 2: Convert to fraction form
    1,149.17/1,722.78 = 456.33/x
  3. Step 3: Cross multiply
    1,149.17x = 1,722.78 × 456.33
  4. Step 4: Simplify right side
    1,149.17x = 786,156.20
  5. Step 5: Solve for x
    x = 786,156.20/1,149.17
  6. Step 6: Final answer
    x = 684.11

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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.