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Finding the Fourth Proportional to 838.78, 1,258.19 and 472.78

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Solution

The fourth proportional to 838.78, 1,258.19 and 472.78 is: 709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.78 : 1,258.19 = 472.78 : x
  2. Step 2: Convert to fraction form
    838.78/1,258.19 = 472.78/x
  3. Step 3: Cross multiply
    838.78x = 1,258.19 × 472.78
  4. Step 4: Simplify right side
    838.78x = 594,847.07
  5. Step 5: Solve for x
    x = 594,847.07/838.78
  6. Step 6: Final answer
    x = 709.18

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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.