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Finding the Fourth Proportional to 961.63, 1,442.68 and 277.63

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Solution

The fourth proportional to 961.63, 1,442.68 and 277.63 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.63 : 1,442.68 = 277.63 : x
  2. Step 2: Convert to fraction form
    961.63/1,442.68 = 277.63/x
  3. Step 3: Cross multiply
    961.63x = 1,442.68 × 277.63
  4. Step 4: Simplify right side
    961.63x = 400,524.04
  5. Step 5: Solve for x
    x = 400,524.04/961.63
  6. Step 6: Final answer
    x = 416.51

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Half scale
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Double scale
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1.5x scale

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.