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Finding the Fourth Proportional to 632.24, 946.31 and 544.76

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Solution

The fourth proportional to 632.24, 946.31 and 544.76 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 946.31 = 544.76 : x
  2. Step 2: Convert to fraction form
    632.24/946.31 = 544.76/x
  3. Step 3: Cross multiply
    632.24x = 946.31 × 544.76
  4. Step 4: Simplify right side
    632.24x = 515,504.38
  5. Step 5: Solve for x
    x = 515,504.38/632.24
  6. Step 6: Final answer
    x = 815.37

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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.