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Finding the Fourth Proportional to 802.86, 1,204.31 and 309.22

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Solution

The fourth proportional to 802.86, 1,204.31 and 309.22 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,204.31 = 309.22 : x
  2. Step 2: Convert to fraction form
    802.86/1,204.31 = 309.22/x
  3. Step 3: Cross multiply
    802.86x = 1,204.31 × 309.22
  4. Step 4: Simplify right side
    802.86x = 372,396.74
  5. Step 5: Solve for x
    x = 372,396.74/802.86
  6. Step 6: Final answer
    x = 463.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.