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Finding the Fourth Proportional to 533.34, 800.40 and 411.84

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Solution

The fourth proportional to 533.34, 800.40 and 411.84 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.34 : 800.40 = 411.84 : x
  2. Step 2: Convert to fraction form
    533.34/800.40 = 411.84/x
  3. Step 3: Cross multiply
    533.34x = 800.40 × 411.84
  4. Step 4: Simplify right side
    533.34x = 329,636.74
  5. Step 5: Solve for x
    x = 329,636.74/533.34
  6. Step 6: Final answer
    x = 618.06

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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.