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Finding the Fourth Proportional to 966.25, 1,449.38 and 349.94

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Solution

The fourth proportional to 966.25, 1,449.38 and 349.94 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.25 : 1,449.38 = 349.94 : x
  2. Step 2: Convert to fraction form
    966.25/1,449.38 = 349.94/x
  3. Step 3: Cross multiply
    966.25x = 1,449.38 × 349.94
  4. Step 4: Simplify right side
    966.25x = 507,190.41
  5. Step 5: Solve for x
    x = 507,190.41/966.25
  6. Step 6: Final answer
    x = 524.91

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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.