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Finding the Fourth Proportional to 533.97, 800.96 and 390.69

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Solution

The fourth proportional to 533.97, 800.96 and 390.69 is: 586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 800.96 = 390.69 : x
  2. Step 2: Convert to fraction form
    533.97/800.96 = 390.69/x
  3. Step 3: Cross multiply
    533.97x = 800.96 × 390.69
  4. Step 4: Simplify right side
    533.97x = 312,925.11
  5. Step 5: Solve for x
    x = 312,925.11/533.97
  6. Step 6: Final answer
    x = 586.04

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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.