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Finding the Fourth Proportional to 582.01, 868.78 and 538.63

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Solution

The fourth proportional to 582.01, 868.78 and 538.63 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.01 : 868.78 = 538.63 : x
  2. Step 2: Convert to fraction form
    582.01/868.78 = 538.63/x
  3. Step 3: Cross multiply
    582.01x = 868.78 × 538.63
  4. Step 4: Simplify right side
    582.01x = 467,950.97
  5. Step 5: Solve for x
    x = 467,950.97/582.01
  6. Step 6: Final answer
    x = 804.03

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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.