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Finding the Fourth Proportional to 533.71, 735.52 and 386.08

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Solution

The fourth proportional to 533.71, 735.52 and 386.08 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 735.52 = 386.08 : x
  2. Step 2: Convert to fraction form
    533.71/735.52 = 386.08/x
  3. Step 3: Cross multiply
    533.71x = 735.52 × 386.08
  4. Step 4: Simplify right side
    533.71x = 283,969.56
  5. Step 5: Solve for x
    x = 283,969.56/533.71
  6. Step 6: Final answer
    x = 532.07

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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.