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Finding the Fourth Proportional to 582.68, 804.84 and 408.80

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Solution

The fourth proportional to 582.68, 804.84 and 408.80 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 804.84 = 408.80 : x
  2. Step 2: Convert to fraction form
    582.68/804.84 = 408.80/x
  3. Step 3: Cross multiply
    582.68x = 804.84 × 408.80
  4. Step 4: Simplify right side
    582.68x = 329,019.07
  5. Step 5: Solve for x
    x = 329,019.07/582.68
  6. Step 6: Final answer
    x = 564.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.