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Finding the Fourth Proportional to 838.85, 1,258.08 and 400.10

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Solution

The fourth proportional to 838.85, 1,258.08 and 400.10 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.85 : 1,258.08 = 400.10 : x
  2. Step 2: Convert to fraction form
    838.85/1,258.08 = 400.10/x
  3. Step 3: Cross multiply
    838.85x = 1,258.08 × 400.10
  4. Step 4: Simplify right side
    838.85x = 503,351.52
  5. Step 5: Solve for x
    x = 503,351.52/838.85
  6. Step 6: Final answer
    x = 600.05

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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.