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Finding the Fourth Proportional to 533.78, 735.14 and 460.07

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Solution

The fourth proportional to 533.78, 735.14 and 460.07 is: 633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 735.14 = 460.07 : x
  2. Step 2: Convert to fraction form
    533.78/735.14 = 460.07/x
  3. Step 3: Cross multiply
    533.78x = 735.14 × 460.07
  4. Step 4: Simplify right side
    533.78x = 338,218.85
  5. Step 5: Solve for x
    x = 338,218.85/533.78
  6. Step 6: Final answer
    x = 633.63

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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.