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Finding the Fourth Proportional to 580.71, 802.29 and 394.80

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Solution

The fourth proportional to 580.71, 802.29 and 394.80 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 802.29 = 394.80 : x
  2. Step 2: Convert to fraction form
    580.71/802.29 = 394.80/x
  3. Step 3: Cross multiply
    580.71x = 802.29 × 394.80
  4. Step 4: Simplify right side
    580.71x = 316,744.09
  5. Step 5: Solve for x
    x = 316,744.09/580.71
  6. Step 6: Final answer
    x = 545.44

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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.