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Finding the Fourth Proportional to 561.39, 774.09 and 411.33

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Solution

The fourth proportional to 561.39, 774.09 and 411.33 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.39 : 774.09 = 411.33 : x
  2. Step 2: Convert to fraction form
    561.39/774.09 = 411.33/x
  3. Step 3: Cross multiply
    561.39x = 774.09 × 411.33
  4. Step 4: Simplify right side
    561.39x = 318,406.44
  5. Step 5: Solve for x
    x = 318,406.44/561.39
  6. Step 6: Final answer
    x = 567.18

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Double scale
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Similar ratio
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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.