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Finding the Fourth Proportional to 829.18, 1,243.87 and 407.17

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Solution

The fourth proportional to 829.18, 1,243.87 and 407.17 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.18 : 1,243.87 = 407.17 : x
  2. Step 2: Convert to fraction form
    829.18/1,243.87 = 407.17/x
  3. Step 3: Cross multiply
    829.18x = 1,243.87 × 407.17
  4. Step 4: Simplify right side
    829.18x = 506,462.42
  5. Step 5: Solve for x
    x = 506,462.42/829.18
  6. Step 6: Final answer
    x = 610.80

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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.