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Finding the Fourth Proportional to 568.89, 853.61 and 540.72

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Solution

The fourth proportional to 568.89, 853.61 and 540.72 is: 811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 853.61 = 540.72 : x
  2. Step 2: Convert to fraction form
    568.89/853.61 = 540.72/x
  3. Step 3: Cross multiply
    568.89x = 853.61 × 540.72
  4. Step 4: Simplify right side
    568.89x = 461,561.30
  5. Step 5: Solve for x
    x = 461,561.30/568.89
  6. Step 6: Final answer
    x = 811.34

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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.