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Finding the Fourth Proportional to 923.56, 1,274.46 and 574.20

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Solution

The fourth proportional to 923.56, 1,274.46 and 574.20 is: 792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,274.46 = 574.20 : x
  2. Step 2: Convert to fraction form
    923.56/1,274.46 = 574.20/x
  3. Step 3: Cross multiply
    923.56x = 1,274.46 × 574.20
  4. Step 4: Simplify right side
    923.56x = 731,794.93
  5. Step 5: Solve for x
    x = 731,794.93/923.56
  6. Step 6: Final answer
    x = 792.36

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1.5x scale

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.