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Finding the Fourth Proportional to 857.67, 1,285.80 and 674.52

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Solution

The fourth proportional to 857.67, 1,285.80 and 674.52 is: 1,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,285.80 = 674.52 : x
  2. Step 2: Convert to fraction form
    857.67/1,285.80 = 674.52/x
  3. Step 3: Cross multiply
    857.67x = 1,285.80 × 674.52
  4. Step 4: Simplify right side
    857.67x = 867,297.82
  5. Step 5: Solve for x
    x = 867,297.82/857.67
  6. Step 6: Final answer
    x = 1,011.23

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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.