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Finding the Fourth Proportional to 423.81, 634.73 and 277.47

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Solution

The fourth proportional to 423.81, 634.73 and 277.47 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.81 : 634.73 = 277.47 : x
  2. Step 2: Convert to fraction form
    423.81/634.73 = 277.47/x
  3. Step 3: Cross multiply
    423.81x = 634.73 × 277.47
  4. Step 4: Simplify right side
    423.81x = 176,117.15
  5. Step 5: Solve for x
    x = 176,117.15/423.81
  6. Step 6: Final answer
    x = 415.56

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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.