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Finding the Fourth Proportional to 533.75, 735.06 and 458.47

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Solution

The fourth proportional to 533.75, 735.06 and 458.47 is: 631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 735.06 = 458.47 : x
  2. Step 2: Convert to fraction form
    533.75/735.06 = 458.47/x
  3. Step 3: Cross multiply
    533.75x = 735.06 × 458.47
  4. Step 4: Simplify right side
    533.75x = 337,000.67
  5. Step 5: Solve for x
    x = 337,000.67/533.75
  6. Step 6: Final answer
    x = 631.38

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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.