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Finding the Fourth Proportional to 1,234.13, 1,849.94 and 531.80

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Solution

The fourth proportional to 1,234.13, 1,849.94 and 531.80 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.13 : 1,849.94 = 531.80 : x
  2. Step 2: Convert to fraction form
    1,234.13/1,849.94 = 531.80/x
  3. Step 3: Cross multiply
    1,234.13x = 1,849.94 × 531.80
  4. Step 4: Simplify right side
    1,234.13x = 983,790.17
  5. Step 5: Solve for x
    x = 983,790.17/1,234.13
  6. Step 6: Final answer
    x = 797.15

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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.