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Finding the Fourth Proportional to 634.22, 874.41 and 529.46

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Solution

The fourth proportional to 634.22, 874.41 and 529.46 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 874.41 = 529.46 : x
  2. Step 2: Convert to fraction form
    634.22/874.41 = 529.46/x
  3. Step 3: Cross multiply
    634.22x = 874.41 × 529.46
  4. Step 4: Simplify right side
    634.22x = 462,965.12
  5. Step 5: Solve for x
    x = 462,965.12/634.22
  6. Step 6: Final answer
    x = 729.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.