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Finding the Fourth Proportional to 923.28, 1,273.97 and 530.33

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Solution

The fourth proportional to 923.28, 1,273.97 and 530.33 is: 731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,273.97 = 530.33 : x
  2. Step 2: Convert to fraction form
    923.28/1,273.97 = 530.33/x
  3. Step 3: Cross multiply
    923.28x = 1,273.97 × 530.33
  4. Step 4: Simplify right side
    923.28x = 675,615.49
  5. Step 5: Solve for x
    x = 675,615.49/923.28
  6. Step 6: Final answer
    x = 731.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.