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Finding the Fourth Proportional to 782.89, 1,174.21 and 349.95

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Solution

The fourth proportional to 782.89, 1,174.21 and 349.95 is: 524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,174.21 = 349.95 : x
  2. Step 2: Convert to fraction form
    782.89/1,174.21 = 349.95/x
  3. Step 3: Cross multiply
    782.89x = 1,174.21 × 349.95
  4. Step 4: Simplify right side
    782.89x = 410,914.79
  5. Step 5: Solve for x
    x = 410,914.79/782.89
  6. Step 6: Final answer
    x = 524.87

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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.