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Finding the Fourth Proportional to 582.60, 804.18 and 416.91

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Solution

The fourth proportional to 582.60, 804.18 and 416.91 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 804.18 = 416.91 : x
  2. Step 2: Convert to fraction form
    582.60/804.18 = 416.91/x
  3. Step 3: Cross multiply
    582.60x = 804.18 × 416.91
  4. Step 4: Simplify right side
    582.60x = 335,270.68
  5. Step 5: Solve for x
    x = 335,270.68/582.60
  6. Step 6: Final answer
    x = 575.47

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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.