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Finding the Fourth Proportional to 568.68, 849.24 and 498.72

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Solution

The fourth proportional to 568.68, 849.24 and 498.72 is: 744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 849.24 = 498.72 : x
  2. Step 2: Convert to fraction form
    568.68/849.24 = 498.72/x
  3. Step 3: Cross multiply
    568.68x = 849.24 × 498.72
  4. Step 4: Simplify right side
    568.68x = 423,532.97
  5. Step 5: Solve for x
    x = 423,532.97/568.68
  6. Step 6: Final answer
    x = 744.77

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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.