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Finding the Fourth Proportional to 782.50, 1,173.78 and 269.50

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Solution

The fourth proportional to 782.50, 1,173.78 and 269.50 is: 404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,173.78 = 269.50 : x
  2. Step 2: Convert to fraction form
    782.50/1,173.78 = 269.50/x
  3. Step 3: Cross multiply
    782.50x = 1,173.78 × 269.50
  4. Step 4: Simplify right side
    782.50x = 316,333.71
  5. Step 5: Solve for x
    x = 316,333.71/782.50
  6. Step 6: Final answer
    x = 404.26

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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.