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Finding the Fourth Proportional to 582.52, 804.12 and 416.80

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Solution

The fourth proportional to 582.52, 804.12 and 416.80 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 804.12 = 416.80 : x
  2. Step 2: Convert to fraction form
    582.52/804.12 = 416.80/x
  3. Step 3: Cross multiply
    582.52x = 804.12 × 416.80
  4. Step 4: Simplify right side
    582.52x = 335,157.22
  5. Step 5: Solve for x
    x = 335,157.22/582.52
  6. Step 6: Final answer
    x = 575.36

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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.