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Finding the Fourth Proportional to 494.67, 681.80 and 383.93

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Solution

The fourth proportional to 494.67, 681.80 and 383.93 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 681.80 = 383.93 : x
  2. Step 2: Convert to fraction form
    494.67/681.80 = 383.93/x
  3. Step 3: Cross multiply
    494.67x = 681.80 × 383.93
  4. Step 4: Simplify right side
    494.67x = 261,763.26
  5. Step 5: Solve for x
    x = 261,763.26/494.67
  6. Step 6: Final answer
    x = 529.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.