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Finding the Fourth Proportional to 575.87, 868.10 and 538.25

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Solution

The fourth proportional to 575.87, 868.10 and 538.25 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.87 : 868.10 = 538.25 : x
  2. Step 2: Convert to fraction form
    575.87/868.10 = 538.25/x
  3. Step 3: Cross multiply
    575.87x = 868.10 × 538.25
  4. Step 4: Simplify right side
    575.87x = 467,247.79
  5. Step 5: Solve for x
    x = 467,247.79/575.87
  6. Step 6: Final answer
    x = 811.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.