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Finding the Fourth Proportional to 533.39, 735.29 and 421.17

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Solution

The fourth proportional to 533.39, 735.29 and 421.17 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.39 : 735.29 = 421.17 : x
  2. Step 2: Convert to fraction form
    533.39/735.29 = 421.17/x
  3. Step 3: Cross multiply
    533.39x = 735.29 × 421.17
  4. Step 4: Simplify right side
    533.39x = 309,679.98
  5. Step 5: Solve for x
    x = 309,679.98/533.39
  6. Step 6: Final answer
    x = 580.59

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Double scale
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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.