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Finding the Fourth Proportional to 829.41, 1,242.44 and 417.98

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Solution

The fourth proportional to 829.41, 1,242.44 and 417.98 is: 626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.41 : 1,242.44 = 417.98 : x
  2. Step 2: Convert to fraction form
    829.41/1,242.44 = 417.98/x
  3. Step 3: Cross multiply
    829.41x = 1,242.44 × 417.98
  4. Step 4: Simplify right side
    829.41x = 519,306.77
  5. Step 5: Solve for x
    x = 519,306.77/829.41
  6. Step 6: Final answer
    x = 626.12

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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.