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Finding the Fourth Proportional to 575.20, 857.21 and 562.87

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Solution

The fourth proportional to 575.20, 857.21 and 562.87 is: 838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 857.21 = 562.87 : x
  2. Step 2: Convert to fraction form
    575.20/857.21 = 562.87/x
  3. Step 3: Cross multiply
    575.20x = 857.21 × 562.87
  4. Step 4: Simplify right side
    575.20x = 482,497.79
  5. Step 5: Solve for x
    x = 482,497.79/575.20
  6. Step 6: Final answer
    x = 838.83

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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.