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Finding the Fourth Proportional to 782.70, 1,173.98 and 320.54

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Solution

The fourth proportional to 782.70, 1,173.98 and 320.54 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.70 : 1,173.98 = 320.54 : x
  2. Step 2: Convert to fraction form
    782.70/1,173.98 = 320.54/x
  3. Step 3: Cross multiply
    782.70x = 1,173.98 × 320.54
  4. Step 4: Simplify right side
    782.70x = 376,300.08
  5. Step 5: Solve for x
    x = 376,300.08/782.70
  6. Step 6: Final answer
    x = 480.77

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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.