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Finding the Fourth Proportional to 533.75, 800.58 and 290.75

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Solution

The fourth proportional to 533.75, 800.58 and 290.75 is: 436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 800.58 = 290.75 : x
  2. Step 2: Convert to fraction form
    533.75/800.58 = 290.75/x
  3. Step 3: Cross multiply
    533.75x = 800.58 × 290.75
  4. Step 4: Simplify right side
    533.75x = 232,768.64
  5. Step 5: Solve for x
    x = 232,768.64/533.75
  6. Step 6: Final answer
    x = 436.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.