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Finding the Fourth Proportional to 961.50, 1,442.89 and 353.50

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Solution

The fourth proportional to 961.50, 1,442.89 and 353.50 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.50 : 1,442.89 = 353.50 : x
  2. Step 2: Convert to fraction form
    961.50/1,442.89 = 353.50/x
  3. Step 3: Cross multiply
    961.50x = 1,442.89 × 353.50
  4. Step 4: Simplify right side
    961.50x = 510,061.62
  5. Step 5: Solve for x
    x = 510,061.62/961.50
  6. Step 6: Final answer
    x = 530.49

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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.