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Finding the Fourth Proportional to 533.54, 800.31 and 314.27

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Solution

The fourth proportional to 533.54, 800.31 and 314.27 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.54 : 800.31 = 314.27 : x
  2. Step 2: Convert to fraction form
    533.54/800.31 = 314.27/x
  3. Step 3: Cross multiply
    533.54x = 800.31 × 314.27
  4. Step 4: Simplify right side
    533.54x = 251,509.42
  5. Step 5: Solve for x
    x = 251,509.42/533.54
  6. Step 6: Final answer
    x = 471.40

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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.