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Finding the Fourth Proportional to 512.10, 763.97 and 440.10

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Solution

The fourth proportional to 512.10, 763.97 and 440.10 is: 656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 763.97 = 440.10 : x
  2. Step 2: Convert to fraction form
    512.10/763.97 = 440.10/x
  3. Step 3: Cross multiply
    512.10x = 763.97 × 440.10
  4. Step 4: Simplify right side
    512.10x = 336,221.00
  5. Step 5: Solve for x
    x = 336,221.00/512.10
  6. Step 6: Final answer
    x = 656.55

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Double scale
Find fourth proportional to 513.10, 765.46 and 441.10
Similar ratio
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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.