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Finding the Fourth Proportional to 568.88, 854.13 and 325.70

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Solution

The fourth proportional to 568.88, 854.13 and 325.70 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.88 : 854.13 = 325.70 : x
  2. Step 2: Convert to fraction form
    568.88/854.13 = 325.70/x
  3. Step 3: Cross multiply
    568.88x = 854.13 × 325.70
  4. Step 4: Simplify right side
    568.88x = 278,190.14
  5. Step 5: Solve for x
    x = 278,190.14/568.88
  6. Step 6: Final answer
    x = 489.01

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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.