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Finding the Fourth Proportional to 838.30, 1,257.45 and 814.30

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Solution

The fourth proportional to 838.30, 1,257.45 and 814.30 is: 1,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,257.45 = 814.30 : x
  2. Step 2: Convert to fraction form
    838.30/1,257.45 = 814.30/x
  3. Step 3: Cross multiply
    838.30x = 1,257.45 × 814.30
  4. Step 4: Simplify right side
    838.30x = 1,023,941.54
  5. Step 5: Solve for x
    x = 1,023,941.54/838.30
  6. Step 6: Final answer
    x = 1,221.45

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1.5x scale

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.