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Finding the Fourth Proportional to 961.84, 1,442.16 and 475.12

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Solution

The fourth proportional to 961.84, 1,442.16 and 475.12 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.84 : 1,442.16 = 475.12 : x
  2. Step 2: Convert to fraction form
    961.84/1,442.16 = 475.12/x
  3. Step 3: Cross multiply
    961.84x = 1,442.16 × 475.12
  4. Step 4: Simplify right side
    961.84x = 685,199.06
  5. Step 5: Solve for x
    x = 685,199.06/961.84
  6. Step 6: Final answer
    x = 712.38

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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.