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Finding the Fourth Proportional to 769.15, 1,062.21 and 621.51

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Solution

The fourth proportional to 769.15, 1,062.21 and 621.51 is: 858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.15 : 1,062.21 = 621.51 : x
  2. Step 2: Convert to fraction form
    769.15/1,062.21 = 621.51/x
  3. Step 3: Cross multiply
    769.15x = 1,062.21 × 621.51
  4. Step 4: Simplify right side
    769.15x = 660,174.14
  5. Step 5: Solve for x
    x = 660,174.14/769.15
  6. Step 6: Final answer
    x = 858.32

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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.