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Finding the Fourth Proportional to 830.44, 1,245.66 and 448.12

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Solution

The fourth proportional to 830.44, 1,245.66 and 448.12 is: 672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,245.66 = 448.12 : x
  2. Step 2: Convert to fraction form
    830.44/1,245.66 = 448.12/x
  3. Step 3: Cross multiply
    830.44x = 1,245.66 × 448.12
  4. Step 4: Simplify right side
    830.44x = 558,205.16
  5. Step 5: Solve for x
    x = 558,205.16/830.44
  6. Step 6: Final answer
    x = 672.18

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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.