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Finding the Fourth Proportional to 610.40, 911.12 and 565.25

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Solution

The fourth proportional to 610.40, 911.12 and 565.25 is: 843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.40 : 911.12 = 565.25 : x
  2. Step 2: Convert to fraction form
    610.40/911.12 = 565.25/x
  3. Step 3: Cross multiply
    610.40x = 911.12 × 565.25
  4. Step 4: Simplify right side
    610.40x = 515,003.20
  5. Step 5: Solve for x
    x = 515,003.20/610.40
  6. Step 6: Final answer
    x = 843.71

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.