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Finding the Fourth Proportional to 697.79, 1,045.42 and 326.91

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Solution

The fourth proportional to 697.79, 1,045.42 and 326.91 is: 489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.79 : 1,045.42 = 326.91 : x
  2. Step 2: Convert to fraction form
    697.79/1,045.42 = 326.91/x
  3. Step 3: Cross multiply
    697.79x = 1,045.42 × 326.91
  4. Step 4: Simplify right side
    697.79x = 341,758.25
  5. Step 5: Solve for x
    x = 341,758.25/697.79
  6. Step 6: Final answer
    x = 489.77

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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.