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Finding the Fourth Proportional to 582.13, 802.94 and 494.20

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Solution

The fourth proportional to 582.13, 802.94 and 494.20 is: 681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 802.94 = 494.20 : x
  2. Step 2: Convert to fraction form
    582.13/802.94 = 494.20/x
  3. Step 3: Cross multiply
    582.13x = 802.94 × 494.20
  4. Step 4: Simplify right side
    582.13x = 396,812.95
  5. Step 5: Solve for x
    x = 396,812.95/582.13
  6. Step 6: Final answer
    x = 681.66

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