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Finding the Fourth Proportional to 838.68, 1,256.40 and 426.84

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Solution

The fourth proportional to 838.68, 1,256.40 and 426.84 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.68 : 1,256.40 = 426.84 : x
  2. Step 2: Convert to fraction form
    838.68/1,256.40 = 426.84/x
  3. Step 3: Cross multiply
    838.68x = 1,256.40 × 426.84
  4. Step 4: Simplify right side
    838.68x = 536,281.78
  5. Step 5: Solve for x
    x = 536,281.78/838.68
  6. Step 6: Final answer
    x = 639.44

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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.