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Finding the Fourth Proportional to 533.66, 734.98 and 459.95

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Solution

The fourth proportional to 533.66, 734.98 and 459.95 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.66 : 734.98 = 459.95 : x
  2. Step 2: Convert to fraction form
    533.66/734.98 = 459.95/x
  3. Step 3: Cross multiply
    533.66x = 734.98 × 459.95
  4. Step 4: Simplify right side
    533.66x = 338,054.05
  5. Step 5: Solve for x
    x = 338,054.05/533.66
  6. Step 6: Final answer
    x = 633.46

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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.