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Finding the Fourth Proportional to 582.52, 868.15 and 581.62

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Solution

The fourth proportional to 582.52, 868.15 and 581.62 is: 866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 868.15 = 581.62 : x
  2. Step 2: Convert to fraction form
    582.52/868.15 = 581.62/x
  3. Step 3: Cross multiply
    582.52x = 868.15 × 581.62
  4. Step 4: Simplify right side
    582.52x = 504,933.40
  5. Step 5: Solve for x
    x = 504,933.40/582.52
  6. Step 6: Final answer
    x = 866.81

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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.