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Finding the Fourth Proportional to 949.15, 1,422.96 and 509.95

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Solution

The fourth proportional to 949.15, 1,422.96 and 509.95 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.15 : 1,422.96 = 509.95 : x
  2. Step 2: Convert to fraction form
    949.15/1,422.96 = 509.95/x
  3. Step 3: Cross multiply
    949.15x = 1,422.96 × 509.95
  4. Step 4: Simplify right side
    949.15x = 725,638.45
  5. Step 5: Solve for x
    x = 725,638.45/949.15
  6. Step 6: Final answer
    x = 764.51

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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.