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Finding the Fourth Proportional to 782.25, 1,173.78 and 397.50

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Solution

The fourth proportional to 782.25, 1,173.78 and 397.50 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,173.78 = 397.50 : x
  2. Step 2: Convert to fraction form
    782.25/1,173.78 = 397.50/x
  3. Step 3: Cross multiply
    782.25x = 1,173.78 × 397.50
  4. Step 4: Simplify right side
    782.25x = 466,577.55
  5. Step 5: Solve for x
    x = 466,577.55/782.25
  6. Step 6: Final answer
    x = 596.46

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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.