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Finding the Fourth Proportional to 923.12, 1,274.30 and 573.92

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Solution

The fourth proportional to 923.12, 1,274.30 and 573.92 is: 792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.12 : 1,274.30 = 573.92 : x
  2. Step 2: Convert to fraction form
    923.12/1,274.30 = 573.92/x
  3. Step 3: Cross multiply
    923.12x = 1,274.30 × 573.92
  4. Step 4: Simplify right side
    923.12x = 731,346.26
  5. Step 5: Solve for x
    x = 731,346.26/923.12
  6. Step 6: Final answer
    x = 792.25

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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.