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Finding the Fourth Proportional to 568.86, 849.14 and 488.22

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Solution

The fourth proportional to 568.86, 849.14 and 488.22 is: 728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 849.14 = 488.22 : x
  2. Step 2: Convert to fraction form
    568.86/849.14 = 488.22/x
  3. Step 3: Cross multiply
    568.86x = 849.14 × 488.22
  4. Step 4: Simplify right side
    568.86x = 414,564.69
  5. Step 5: Solve for x
    x = 414,564.69/568.86
  6. Step 6: Final answer
    x = 728.76

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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.