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Finding the Fourth Proportional to 568.85, 849.09 and 527.10

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Solution

The fourth proportional to 568.85, 849.09 and 527.10 is: 786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.85 : 849.09 = 527.10 : x
  2. Step 2: Convert to fraction form
    568.85/849.09 = 527.10/x
  3. Step 3: Cross multiply
    568.85x = 849.09 × 527.10
  4. Step 4: Simplify right side
    568.85x = 447,555.34
  5. Step 5: Solve for x
    x = 447,555.34/568.85
  6. Step 6: Final answer
    x = 786.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.