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Finding the Fourth Proportional to 830.73, 1,246.02 and 214.44

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Solution

The fourth proportional to 830.73, 1,246.02 and 214.44 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.73 : 1,246.02 = 214.44 : x
  2. Step 2: Convert to fraction form
    830.73/1,246.02 = 214.44/x
  3. Step 3: Cross multiply
    830.73x = 1,246.02 × 214.44
  4. Step 4: Simplify right side
    830.73x = 267,196.53
  5. Step 5: Solve for x
    x = 267,196.53/830.73
  6. Step 6: Final answer
    x = 321.64

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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.