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Finding the Fourth Proportional to 632.36, 946.86 and 521.49

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Solution

The fourth proportional to 632.36, 946.86 and 521.49 is: 780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 946.86 = 521.49 : x
  2. Step 2: Convert to fraction form
    632.36/946.86 = 521.49/x
  3. Step 3: Cross multiply
    632.36x = 946.86 × 521.49
  4. Step 4: Simplify right side
    632.36x = 493,778.02
  5. Step 5: Solve for x
    x = 493,778.02/632.36
  6. Step 6: Final answer
    x = 780.86

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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.