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Finding the Fourth Proportional to 968.95, 1,450.41 and 529.09

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Solution

The fourth proportional to 968.95, 1,450.41 and 529.09 is: 791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.95 : 1,450.41 = 529.09 : x
  2. Step 2: Convert to fraction form
    968.95/1,450.41 = 529.09/x
  3. Step 3: Cross multiply
    968.95x = 1,450.41 × 529.09
  4. Step 4: Simplify right side
    968.95x = 767,397.43
  5. Step 5: Solve for x
    x = 767,397.43/968.95
  6. Step 6: Final answer
    x = 791.99

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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.