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Finding the Fourth Proportional to 533.76, 734.96 and 454.92

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Solution

The fourth proportional to 533.76, 734.96 and 454.92 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 734.96 = 454.92 : x
  2. Step 2: Convert to fraction form
    533.76/734.96 = 454.92/x
  3. Step 3: Cross multiply
    533.76x = 734.96 × 454.92
  4. Step 4: Simplify right side
    533.76x = 334,348.00
  5. Step 5: Solve for x
    x = 334,348.00/533.76
  6. Step 6: Final answer
    x = 626.40

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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.