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Finding the Fourth Proportional to 1,323.10, 1,983.65 and 674.30

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Solution

The fourth proportional to 1,323.10, 1,983.65 and 674.30 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.10 : 1,983.65 = 674.30 : x
  2. Step 2: Convert to fraction form
    1,323.10/1,983.65 = 674.30/x
  3. Step 3: Cross multiply
    1,323.10x = 1,983.65 × 674.30
  4. Step 4: Simplify right side
    1,323.10x = 1,337,575.20
  5. Step 5: Solve for x
    x = 1,337,575.20/1,323.10
  6. Step 6: Final answer
    x = 1,010.94

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1.5x scale

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.