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Finding the Fourth Proportional to 633.88, 949.44 and 522.95

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Solution

The fourth proportional to 633.88, 949.44 and 522.95 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.88 : 949.44 = 522.95 : x
  2. Step 2: Convert to fraction form
    633.88/949.44 = 522.95/x
  3. Step 3: Cross multiply
    633.88x = 949.44 × 522.95
  4. Step 4: Simplify right side
    633.88x = 496,502.29
  5. Step 5: Solve for x
    x = 496,502.29/633.88
  6. Step 6: Final answer
    x = 783.27

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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.