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Finding the Fourth Proportional to 691.32, 1,037.37 and 258.78

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Solution

The fourth proportional to 691.32, 1,037.37 and 258.78 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.32 : 1,037.37 = 258.78 : x
  2. Step 2: Convert to fraction form
    691.32/1,037.37 = 258.78/x
  3. Step 3: Cross multiply
    691.32x = 1,037.37 × 258.78
  4. Step 4: Simplify right side
    691.32x = 268,450.61
  5. Step 5: Solve for x
    x = 268,450.61/691.32
  6. Step 6: Final answer
    x = 388.32

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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.