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Finding the Fourth Proportional to 923.38, 1,274.26 and 574.07

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Solution

The fourth proportional to 923.38, 1,274.26 and 574.07 is: 792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.38 : 1,274.26 = 574.07 : x
  2. Step 2: Convert to fraction form
    923.38/1,274.26 = 574.07/x
  3. Step 3: Cross multiply
    923.38x = 1,274.26 × 574.07
  4. Step 4: Simplify right side
    923.38x = 731,508.07
  5. Step 5: Solve for x
    x = 731,508.07/923.38
  6. Step 6: Final answer
    x = 792.21

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Half scale
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Double scale
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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.