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Finding the Fourth Proportional to 993, 1,489.28 and 334.80

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Solution

The fourth proportional to 993, 1,489.28 and 334.80 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    993 : 1,489.28 = 334.80 : x
  2. Step 2: Convert to fraction form
    993/1,489.28 = 334.80/x
  3. Step 3: Cross multiply
    993x = 1,489.28 × 334.80
  4. Step 4: Simplify right side
    993x = 498,610.94
  5. Step 5: Solve for x
    x = 498,610.94/993
  6. Step 6: Final answer
    x = 502.13

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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.