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Finding the Fourth Proportional to 533.60, 800.91 and 290.64

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Solution

The fourth proportional to 533.60, 800.91 and 290.64 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.60 : 800.91 = 290.64 : x
  2. Step 2: Convert to fraction form
    533.60/800.91 = 290.64/x
  3. Step 3: Cross multiply
    533.60x = 800.91 × 290.64
  4. Step 4: Simplify right side
    533.60x = 232,776.48
  5. Step 5: Solve for x
    x = 232,776.48/533.60
  6. Step 6: Final answer
    x = 436.24

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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.