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Finding the Fourth Proportional to 631.81, 947.78 and 548.89

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Solution

The fourth proportional to 631.81, 947.78 and 548.89 is: 823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.81 : 947.78 = 548.89 : x
  2. Step 2: Convert to fraction form
    631.81/947.78 = 548.89/x
  3. Step 3: Cross multiply
    631.81x = 947.78 × 548.89
  4. Step 4: Simplify right side
    631.81x = 520,219.48
  5. Step 5: Solve for x
    x = 520,219.48/631.81
  6. Step 6: Final answer
    x = 823.39

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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.