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Finding the Fourth Proportional to 838.55, 1,257.65 and 290.79

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Solution

The fourth proportional to 838.55, 1,257.65 and 290.79 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.55 : 1,257.65 = 290.79 : x
  2. Step 2: Convert to fraction form
    838.55/1,257.65 = 290.79/x
  3. Step 3: Cross multiply
    838.55x = 1,257.65 × 290.79
  4. Step 4: Simplify right side
    838.55x = 365,710.59
  5. Step 5: Solve for x
    x = 365,710.59/838.55
  6. Step 6: Final answer
    x = 436.13

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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.