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Finding the Fourth Proportional to 533.08, 734.91 and 375.23

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Solution

The fourth proportional to 533.08, 734.91 and 375.23 is: 517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 734.91 = 375.23 : x
  2. Step 2: Convert to fraction form
    533.08/734.91 = 375.23/x
  3. Step 3: Cross multiply
    533.08x = 734.91 × 375.23
  4. Step 4: Simplify right side
    533.08x = 275,760.71
  5. Step 5: Solve for x
    x = 275,760.71/533.08
  6. Step 6: Final answer
    x = 517.30

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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.