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Finding the Fourth Proportional to 533.88, 737.15 and 525.38

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Solution

The fourth proportional to 533.88, 737.15 and 525.38 is: 725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 737.15 = 525.38 : x
  2. Step 2: Convert to fraction form
    533.88/737.15 = 525.38/x
  3. Step 3: Cross multiply
    533.88x = 737.15 × 525.38
  4. Step 4: Simplify right side
    533.88x = 387,277.55
  5. Step 5: Solve for x
    x = 387,277.55/533.88
  6. Step 6: Final answer
    x = 725.40

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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.