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Finding the Fourth Proportional to 533.73, 731.67 and 525.21

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Solution

The fourth proportional to 533.73, 731.67 and 525.21 is: 719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.73 : 731.67 = 525.21 : x
  2. Step 2: Convert to fraction form
    533.73/731.67 = 525.21/x
  3. Step 3: Cross multiply
    533.73x = 731.67 × 525.21
  4. Step 4: Simplify right side
    533.73x = 384,280.40
  5. Step 5: Solve for x
    x = 384,280.40/533.73
  6. Step 6: Final answer
    x = 719.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.