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Finding the Fourth Proportional to 689.18, 1,033.91 and 256.37

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Solution

The fourth proportional to 689.18, 1,033.91 and 256.37 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 1,033.91 = 256.37 : x
  2. Step 2: Convert to fraction form
    689.18/1,033.91 = 256.37/x
  3. Step 3: Cross multiply
    689.18x = 1,033.91 × 256.37
  4. Step 4: Simplify right side
    689.18x = 265,062.22
  5. Step 5: Solve for x
    x = 265,062.22/689.18
  6. Step 6: Final answer
    x = 384.61

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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.