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Finding the Fourth Proportional to 830.75, 1,246.12 and 214.49

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Solution

The fourth proportional to 830.75, 1,246.12 and 214.49 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,246.12 = 214.49 : x
  2. Step 2: Convert to fraction form
    830.75/1,246.12 = 214.49/x
  3. Step 3: Cross multiply
    830.75x = 1,246.12 × 214.49
  4. Step 4: Simplify right side
    830.75x = 267,282.86
  5. Step 5: Solve for x
    x = 267,282.86/830.75
  6. Step 6: Final answer
    x = 321.74

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Half scale
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Double scale
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Similar ratio
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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.