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Finding the Fourth Proportional to 1,520.85, 2,279.93 and 533.19

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Solution

The fourth proportional to 1,520.85, 2,279.93 and 533.19 is: 799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.85 : 2,279.93 = 533.19 : x
  2. Step 2: Convert to fraction form
    1,520.85/2,279.93 = 533.19/x
  3. Step 3: Cross multiply
    1,520.85x = 2,279.93 × 533.19
  4. Step 4: Simplify right side
    1,520.85x = 1,215,633.21
  5. Step 5: Solve for x
    x = 1,215,633.21/1,520.85
  6. Step 6: Final answer
    x = 799.31

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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.