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Finding the Fourth Proportional to 949.78, 1,422.67 and 486.15

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Solution

The fourth proportional to 949.78, 1,422.67 and 486.15 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.78 : 1,422.67 = 486.15 : x
  2. Step 2: Convert to fraction form
    949.78/1,422.67 = 486.15/x
  3. Step 3: Cross multiply
    949.78x = 1,422.67 × 486.15
  4. Step 4: Simplify right side
    949.78x = 691,631.02
  5. Step 5: Solve for x
    x = 691,631.02/949.78
  6. Step 6: Final answer
    x = 728.20

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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.