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Finding the Fourth Proportional to 582.51, 868.14 and 581.61

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Solution

The fourth proportional to 582.51, 868.14 and 581.61 is: 866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 868.14 = 581.61 : x
  2. Step 2: Convert to fraction form
    582.51/868.14 = 581.61/x
  3. Step 3: Cross multiply
    582.51x = 868.14 × 581.61
  4. Step 4: Simplify right side
    582.51x = 504,918.91
  5. Step 5: Solve for x
    x = 504,918.91/582.51
  6. Step 6: Final answer
    x = 866.80

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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.