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Finding the Fourth Proportional to 812.25, 1,120.91 and 501.75

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Solution

The fourth proportional to 812.25, 1,120.91 and 501.75 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,120.91 = 501.75 : x
  2. Step 2: Convert to fraction form
    812.25/1,120.91 = 501.75/x
  3. Step 3: Cross multiply
    812.25x = 1,120.91 × 501.75
  4. Step 4: Simplify right side
    812.25x = 562,414.08
  5. Step 5: Solve for x
    x = 562,414.08/812.25
  6. Step 6: Final answer
    x = 692.42

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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.