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Finding the Fourth Proportional to 561.53, 774.38 and 337.43

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Solution

The fourth proportional to 561.53, 774.38 and 337.43 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 774.38 = 337.43 : x
  2. Step 2: Convert to fraction form
    561.53/774.38 = 337.43/x
  3. Step 3: Cross multiply
    561.53x = 774.38 × 337.43
  4. Step 4: Simplify right side
    561.53x = 261,299.04
  5. Step 5: Solve for x
    x = 261,299.04/561.53
  6. Step 6: Final answer
    x = 465.33

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Double scale
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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.