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Finding the Fourth Proportional to 533.66, 797.99 and 487.76

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Solution

The fourth proportional to 533.66, 797.99 and 487.76 is: 729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.66 : 797.99 = 487.76 : x
  2. Step 2: Convert to fraction form
    533.66/797.99 = 487.76/x
  3. Step 3: Cross multiply
    533.66x = 797.99 × 487.76
  4. Step 4: Simplify right side
    533.66x = 389,221.17
  5. Step 5: Solve for x
    x = 389,221.17/533.66
  6. Step 6: Final answer
    x = 729.35

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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.