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Finding the Fourth Proportional to 533.75, 734.69 and 428.04

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Solution

The fourth proportional to 533.75, 734.69 and 428.04 is: 589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 734.69 = 428.04 : x
  2. Step 2: Convert to fraction form
    533.75/734.69 = 428.04/x
  3. Step 3: Cross multiply
    533.75x = 734.69 × 428.04
  4. Step 4: Simplify right side
    533.75x = 314,477.78
  5. Step 5: Solve for x
    x = 314,477.78/533.75
  6. Step 6: Final answer
    x = 589.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.