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Finding the Fourth Proportional to 844.50, 1,165.30 and 490.37

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Solution

The fourth proportional to 844.50, 1,165.30 and 490.37 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,165.30 = 490.37 : x
  2. Step 2: Convert to fraction form
    844.50/1,165.30 = 490.37/x
  3. Step 3: Cross multiply
    844.50x = 1,165.30 × 490.37
  4. Step 4: Simplify right side
    844.50x = 571,419.88
  5. Step 5: Solve for x
    x = 571,419.88/844.50
  6. Step 6: Final answer
    x = 676.64

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1.5x scale

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.