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Finding the Fourth Proportional to 830.60, 1,246.13 and 282.49

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Solution

The fourth proportional to 830.60, 1,246.13 and 282.49 is: 423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.60 : 1,246.13 = 282.49 : x
  2. Step 2: Convert to fraction form
    830.60/1,246.13 = 282.49/x
  3. Step 3: Cross multiply
    830.60x = 1,246.13 × 282.49
  4. Step 4: Simplify right side
    830.60x = 352,017.38
  5. Step 5: Solve for x
    x = 352,017.38/830.60
  6. Step 6: Final answer
    x = 423.81

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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.