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Finding the Fourth Proportional to 697.30, 1,046.29 and 326.95

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Solution

The fourth proportional to 697.30, 1,046.29 and 326.95 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,046.29 = 326.95 : x
  2. Step 2: Convert to fraction form
    697.30/1,046.29 = 326.95/x
  3. Step 3: Cross multiply
    697.30x = 1,046.29 × 326.95
  4. Step 4: Simplify right side
    697.30x = 342,084.52
  5. Step 5: Solve for x
    x = 342,084.52/697.30
  6. Step 6: Final answer
    x = 490.58

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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.