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Finding the Fourth Proportional to 950.25, 1,426.74 and 605.76

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Solution

The fourth proportional to 950.25, 1,426.74 and 605.76 is: 909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,426.74 = 605.76 : x
  2. Step 2: Convert to fraction form
    950.25/1,426.74 = 605.76/x
  3. Step 3: Cross multiply
    950.25x = 1,426.74 × 605.76
  4. Step 4: Simplify right side
    950.25x = 864,262.02
  5. Step 5: Solve for x
    x = 864,262.02/950.25
  6. Step 6: Final answer
    x = 909.51

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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.