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Finding the Fourth Proportional to 582.48, 868.80 and 548.64

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Solution

The fourth proportional to 582.48, 868.80 and 548.64 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 868.80 = 548.64 : x
  2. Step 2: Convert to fraction form
    582.48/868.80 = 548.64/x
  3. Step 3: Cross multiply
    582.48x = 868.80 × 548.64
  4. Step 4: Simplify right side
    582.48x = 476,658.43
  5. Step 5: Solve for x
    x = 476,658.43/582.48
  6. Step 6: Final answer
    x = 818.33

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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.