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Finding the Fourth Proportional to 667.26, 1,000.13 and 256.19

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Solution

The fourth proportional to 667.26, 1,000.13 and 256.19 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.26 : 1,000.13 = 256.19 : x
  2. Step 2: Convert to fraction form
    667.26/1,000.13 = 256.19/x
  3. Step 3: Cross multiply
    667.26x = 1,000.13 × 256.19
  4. Step 4: Simplify right side
    667.26x = 256,217.02
  5. Step 5: Solve for x
    x = 256,217.02/667.26
  6. Step 6: Final answer
    x = 383.98

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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.