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Finding the Fourth Proportional to 1,225.40, 1,838.76 and 814.73

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Solution

The fourth proportional to 1,225.40, 1,838.76 and 814.73 is: 1,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.40 : 1,838.76 = 814.73 : x
  2. Step 2: Convert to fraction form
    1,225.40/1,838.76 = 814.73/x
  3. Step 3: Cross multiply
    1,225.40x = 1,838.76 × 814.73
  4. Step 4: Simplify right side
    1,225.40x = 1,498,092.93
  5. Step 5: Solve for x
    x = 1,498,092.93/1,225.40
  6. Step 6: Final answer
    x = 1,222.53

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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.