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Finding the Fourth Proportional to 838.13, 1,257.61 and 376.23

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Solution

The fourth proportional to 838.13, 1,257.61 and 376.23 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.13 : 1,257.61 = 376.23 : x
  2. Step 2: Convert to fraction form
    838.13/1,257.61 = 376.23/x
  3. Step 3: Cross multiply
    838.13x = 1,257.61 × 376.23
  4. Step 4: Simplify right side
    838.13x = 473,150.61
  5. Step 5: Solve for x
    x = 473,150.61/838.13
  6. Step 6: Final answer
    x = 564.53

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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.