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Finding the Fourth Proportional to 768.12, 1,061.17 and 620.50

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Solution

The fourth proportional to 768.12, 1,061.17 and 620.50 is: 857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.12 : 1,061.17 = 620.50 : x
  2. Step 2: Convert to fraction form
    768.12/1,061.17 = 620.50/x
  3. Step 3: Cross multiply
    768.12x = 1,061.17 × 620.50
  4. Step 4: Simplify right side
    768.12x = 658,455.99
  5. Step 5: Solve for x
    x = 658,455.99/768.12
  6. Step 6: Final answer
    x = 857.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.