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Finding the Fourth Proportional to 632.74, 946.94 and 436.82

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Solution

The fourth proportional to 632.74, 946.94 and 436.82 is: 653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.74 : 946.94 = 436.82 : x
  2. Step 2: Convert to fraction form
    632.74/946.94 = 436.82/x
  3. Step 3: Cross multiply
    632.74x = 946.94 × 436.82
  4. Step 4: Simplify right side
    632.74x = 413,642.33
  5. Step 5: Solve for x
    x = 413,642.33/632.74
  6. Step 6: Final answer
    x = 653.73

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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.