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Finding the Fourth Proportional to 830.29, 1,242.80 and 463.97

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Solution

The fourth proportional to 830.29, 1,242.80 and 463.97 is: 694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.29 : 1,242.80 = 463.97 : x
  2. Step 2: Convert to fraction form
    830.29/1,242.80 = 463.97/x
  3. Step 3: Cross multiply
    830.29x = 1,242.80 × 463.97
  4. Step 4: Simplify right side
    830.29x = 576,613.38
  5. Step 5: Solve for x
    x = 576,613.38/830.29
  6. Step 6: Final answer
    x = 694.48

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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.