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Finding the Fourth Proportional to 950.22, 1,426.65 and 657.05

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Solution

The fourth proportional to 950.22, 1,426.65 and 657.05 is: 986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.22 : 1,426.65 = 657.05 : x
  2. Step 2: Convert to fraction form
    950.22/1,426.65 = 657.05/x
  3. Step 3: Cross multiply
    950.22x = 1,426.65 × 657.05
  4. Step 4: Simplify right side
    950.22x = 937,373.25
  5. Step 5: Solve for x
    x = 937,373.25/950.22
  6. Step 6: Final answer
    x = 986.48

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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.