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Finding the Fourth Proportional to 582.08, 802.11 and 494.60

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Solution

The fourth proportional to 582.08, 802.11 and 494.60 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 802.11 = 494.60 : x
  2. Step 2: Convert to fraction form
    582.08/802.11 = 494.60/x
  3. Step 3: Cross multiply
    582.08x = 802.11 × 494.60
  4. Step 4: Simplify right side
    582.08x = 396,723.61
  5. Step 5: Solve for x
    x = 396,723.61/582.08
  6. Step 6: Final answer
    x = 681.56

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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.