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Finding the Fourth Proportional to 568.62, 854.15 and 415.53

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Solution

The fourth proportional to 568.62, 854.15 and 415.53 is: 624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 854.15 = 415.53 : x
  2. Step 2: Convert to fraction form
    568.62/854.15 = 415.53/x
  3. Step 3: Cross multiply
    568.62x = 854.15 × 415.53
  4. Step 4: Simplify right side
    568.62x = 354,922.87
  5. Step 5: Solve for x
    x = 354,922.87/568.62
  6. Step 6: Final answer
    x = 624.18

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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.