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Finding the Fourth Proportional to 782.14, 1,174.06 and 416.82

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Solution

The fourth proportional to 782.14, 1,174.06 and 416.82 is: 625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,174.06 = 416.82 : x
  2. Step 2: Convert to fraction form
    782.14/1,174.06 = 416.82/x
  3. Step 3: Cross multiply
    782.14x = 1,174.06 × 416.82
  4. Step 4: Simplify right side
    782.14x = 489,371.69
  5. Step 5: Solve for x
    x = 489,371.69/782.14
  6. Step 6: Final answer
    x = 625.68

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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.