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Finding the Fourth Proportional to 631.15, 943.94 and 548.80

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Solution

The fourth proportional to 631.15, 943.94 and 548.80 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.15 : 943.94 = 548.80 : x
  2. Step 2: Convert to fraction form
    631.15/943.94 = 548.80/x
  3. Step 3: Cross multiply
    631.15x = 943.94 × 548.80
  4. Step 4: Simplify right side
    631.15x = 518,035.17
  5. Step 5: Solve for x
    x = 518,035.17/631.15
  6. Step 6: Final answer
    x = 820.77

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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.