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Finding the Fourth Proportional to 993.13, 1,489.86 and 335.07

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Solution

The fourth proportional to 993.13, 1,489.86 and 335.07 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.13 : 1,489.86 = 335.07 : x
  2. Step 2: Convert to fraction form
    993.13/1,489.86 = 335.07/x
  3. Step 3: Cross multiply
    993.13x = 1,489.86 × 335.07
  4. Step 4: Simplify right side
    993.13x = 499,201.99
  5. Step 5: Solve for x
    x = 499,201.99/993.13
  6. Step 6: Final answer
    x = 502.66

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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.