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Finding the Fourth Proportional to 1,065.43, 1,597.85 and 674.85

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Solution

The fourth proportional to 1,065.43, 1,597.85 and 674.85 is: 1,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.43 : 1,597.85 = 674.85 : x
  2. Step 2: Convert to fraction form
    1,065.43/1,597.85 = 674.85/x
  3. Step 3: Cross multiply
    1,065.43x = 1,597.85 × 674.85
  4. Step 4: Simplify right side
    1,065.43x = 1,078,309.07
  5. Step 5: Solve for x
    x = 1,078,309.07/1,065.43
  6. Step 6: Final answer
    x = 1,012.09

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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.