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Finding the Fourth Proportional to 838.56, 1,257.85 and 253.56

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Solution

The fourth proportional to 838.56, 1,257.85 and 253.56 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,257.85 = 253.56 : x
  2. Step 2: Convert to fraction form
    838.56/1,257.85 = 253.56/x
  3. Step 3: Cross multiply
    838.56x = 1,257.85 × 253.56
  4. Step 4: Simplify right side
    838.56x = 318,939.18
  5. Step 5: Solve for x
    x = 318,939.18/838.56
  6. Step 6: Final answer
    x = 380.34

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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.