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Finding the Fourth Proportional to 1,224.95, 1,838.03 and 494.53

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Solution

The fourth proportional to 1,224.95, 1,838.03 and 494.53 is: 742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.95 : 1,838.03 = 494.53 : x
  2. Step 2: Convert to fraction form
    1,224.95/1,838.03 = 494.53/x
  3. Step 3: Cross multiply
    1,224.95x = 1,838.03 × 494.53
  4. Step 4: Simplify right side
    1,224.95x = 908,953.91
  5. Step 5: Solve for x
    x = 908,953.91/1,224.95
  6. Step 6: Final answer
    x = 742.04

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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.