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Finding the Fourth Proportional to 1,225.29, 1,838.09 and 484.95

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Solution

The fourth proportional to 1,225.29, 1,838.09 and 484.95 is: 727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.29 : 1,838.09 = 484.95 : x
  2. Step 2: Convert to fraction form
    1,225.29/1,838.09 = 484.95/x
  3. Step 3: Cross multiply
    1,225.29x = 1,838.09 × 484.95
  4. Step 4: Simplify right side
    1,225.29x = 891,381.75
  5. Step 5: Solve for x
    x = 891,381.75/1,225.29
  6. Step 6: Final answer
    x = 727.49

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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.