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Finding the Fourth Proportional to 533.49, 734.74 and 505.69

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Solution

The fourth proportional to 533.49, 734.74 and 505.69 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.49 : 734.74 = 505.69 : x
  2. Step 2: Convert to fraction form
    533.49/734.74 = 505.69/x
  3. Step 3: Cross multiply
    533.49x = 734.74 × 505.69
  4. Step 4: Simplify right side
    533.49x = 371,551.70
  5. Step 5: Solve for x
    x = 371,551.70/533.49
  6. Step 6: Final answer
    x = 696.46

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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.