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Finding the Fourth Proportional to 838.90, 1,258.92 and 291.08

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Solution

The fourth proportional to 838.90, 1,258.92 and 291.08 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.90 : 1,258.92 = 291.08 : x
  2. Step 2: Convert to fraction form
    838.90/1,258.92 = 291.08/x
  3. Step 3: Cross multiply
    838.90x = 1,258.92 × 291.08
  4. Step 4: Simplify right side
    838.90x = 366,446.43
  5. Step 5: Solve for x
    x = 366,446.43/838.90
  6. Step 6: Final answer
    x = 436.82

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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.