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Finding the Fourth Proportional to 802.78, 1,203.86 and 315.56

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Solution

The fourth proportional to 802.78, 1,203.86 and 315.56 is: 473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.78 : 1,203.86 = 315.56 : x
  2. Step 2: Convert to fraction form
    802.78/1,203.86 = 315.56/x
  3. Step 3: Cross multiply
    802.78x = 1,203.86 × 315.56
  4. Step 4: Simplify right side
    802.78x = 379,893.86
  5. Step 5: Solve for x
    x = 379,893.86/802.78
  6. Step 6: Final answer
    x = 473.22

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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.