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Finding the Fourth Proportional to 750.29, 1,124.64 and 262.97

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Solution

The fourth proportional to 750.29, 1,124.64 and 262.97 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.29 : 1,124.64 = 262.97 : x
  2. Step 2: Convert to fraction form
    750.29/1,124.64 = 262.97/x
  3. Step 3: Cross multiply
    750.29x = 1,124.64 × 262.97
  4. Step 4: Simplify right side
    750.29x = 295,749.39
  5. Step 5: Solve for x
    x = 295,749.39/750.29
  6. Step 6: Final answer
    x = 394.18

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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.