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Finding the Fourth Proportional to 952.88, 1,429.34 and 294.80

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Solution

The fourth proportional to 952.88, 1,429.34 and 294.80 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.88 : 1,429.34 = 294.80 : x
  2. Step 2: Convert to fraction form
    952.88/1,429.34 = 294.80/x
  3. Step 3: Cross multiply
    952.88x = 1,429.34 × 294.80
  4. Step 4: Simplify right side
    952.88x = 421,369.43
  5. Step 5: Solve for x
    x = 421,369.43/952.88
  6. Step 6: Final answer
    x = 442.21

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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.