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Finding the Fourth Proportional to 610.06, 913.53 and 335.85

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Solution

The fourth proportional to 610.06, 913.53 and 335.85 is: 502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.06 : 913.53 = 335.85 : x
  2. Step 2: Convert to fraction form
    610.06/913.53 = 335.85/x
  3. Step 3: Cross multiply
    610.06x = 913.53 × 335.85
  4. Step 4: Simplify right side
    610.06x = 306,809.05
  5. Step 5: Solve for x
    x = 306,809.05/610.06
  6. Step 6: Final answer
    x = 502.92

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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.