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Finding the Fourth Proportional to 782.52, 1,173.95 and 234.66

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Solution

The fourth proportional to 782.52, 1,173.95 and 234.66 is: 352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,173.95 = 234.66 : x
  2. Step 2: Convert to fraction form
    782.52/1,173.95 = 234.66/x
  3. Step 3: Cross multiply
    782.52x = 1,173.95 × 234.66
  4. Step 4: Simplify right side
    782.52x = 275,477.93
  5. Step 5: Solve for x
    x = 275,477.93/782.52
  6. Step 6: Final answer
    x = 352.04

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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.