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Finding the Fourth Proportional to 582.39, 868.73 and 496.26

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Solution

The fourth proportional to 582.39, 868.73 and 496.26 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 868.73 = 496.26 : x
  2. Step 2: Convert to fraction form
    582.39/868.73 = 496.26/x
  3. Step 3: Cross multiply
    582.39x = 868.73 × 496.26
  4. Step 4: Simplify right side
    582.39x = 431,113.47
  5. Step 5: Solve for x
    x = 431,113.47/582.39
  6. Step 6: Final answer
    x = 740.25

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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.