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Finding the Fourth Proportional to 952.68, 1,428.58 and 746.81

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Solution

The fourth proportional to 952.68, 1,428.58 and 746.81 is: 1,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.68 : 1,428.58 = 746.81 : x
  2. Step 2: Convert to fraction form
    952.68/1,428.58 = 746.81/x
  3. Step 3: Cross multiply
    952.68x = 1,428.58 × 746.81
  4. Step 4: Simplify right side
    952.68x = 1,066,877.83
  5. Step 5: Solve for x
    x = 1,066,877.83/952.68
  6. Step 6: Final answer
    x = 1,119.87

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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.