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Finding the Fourth Proportional to 830.97, 1,245.33 and 419.22

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Solution

The fourth proportional to 830.97, 1,245.33 and 419.22 is: 628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.97 : 1,245.33 = 419.22 : x
  2. Step 2: Convert to fraction form
    830.97/1,245.33 = 419.22/x
  3. Step 3: Cross multiply
    830.97x = 1,245.33 × 419.22
  4. Step 4: Simplify right side
    830.97x = 522,067.24
  5. Step 5: Solve for x
    x = 522,067.24/830.97
  6. Step 6: Final answer
    x = 628.26

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.