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Finding the Fourth Proportional to 689.18, 1,033.12 and 256

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Solution

The fourth proportional to 689.18, 1,033.12 and 256 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 1,033.12 = 256 : x
  2. Step 2: Convert to fraction form
    689.18/1,033.12 = 256/x
  3. Step 3: Cross multiply
    689.18x = 1,033.12 × 256
  4. Step 4: Simplify right side
    689.18x = 264,478.72
  5. Step 5: Solve for x
    x = 264,478.72/689.18
  6. Step 6: Final answer
    x = 383.76

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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.