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Finding the Fourth Proportional to 689.21, 1,033.21 and 256.06

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Solution

The fourth proportional to 689.21, 1,033.21 and 256.06 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.21 : 1,033.21 = 256.06 : x
  2. Step 2: Convert to fraction form
    689.21/1,033.21 = 256.06/x
  3. Step 3: Cross multiply
    689.21x = 1,033.21 × 256.06
  4. Step 4: Simplify right side
    689.21x = 264,565.70
  5. Step 5: Solve for x
    x = 264,565.70/689.21
  6. Step 6: Final answer
    x = 383.87

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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.