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Finding the Fourth Proportional to 949.93, 1,426.20 and 488.07

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Solution

The fourth proportional to 949.93, 1,426.20 and 488.07 is: 732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.93 : 1,426.20 = 488.07 : x
  2. Step 2: Convert to fraction form
    949.93/1,426.20 = 488.07/x
  3. Step 3: Cross multiply
    949.93x = 1,426.20 × 488.07
  4. Step 4: Simplify right side
    949.93x = 696,085.43
  5. Step 5: Solve for x
    x = 696,085.43/949.93
  6. Step 6: Final answer
    x = 732.78

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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.