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Finding the Fourth Proportional to 535.57, 800.72 and 454.21

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Solution

The fourth proportional to 535.57, 800.72 and 454.21 is: 679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 800.72 = 454.21 : x
  2. Step 2: Convert to fraction form
    535.57/800.72 = 454.21/x
  3. Step 3: Cross multiply
    535.57x = 800.72 × 454.21
  4. Step 4: Simplify right side
    535.57x = 363,692.76
  5. Step 5: Solve for x
    x = 363,692.76/535.57
  6. Step 6: Final answer
    x = 679.08

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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.