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Finding the Fourth Proportional to 782.66, 1,173.95 and 320.31

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Solution

The fourth proportional to 782.66, 1,173.95 and 320.31 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,173.95 = 320.31 : x
  2. Step 2: Convert to fraction form
    782.66/1,173.95 = 320.31/x
  3. Step 3: Cross multiply
    782.66x = 1,173.95 × 320.31
  4. Step 4: Simplify right side
    782.66x = 376,028.73
  5. Step 5: Solve for x
    x = 376,028.73/782.66
  6. Step 6: Final answer
    x = 480.45

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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.