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Finding the Fourth Proportional to 533.06, 735.33 and 386.06

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Solution

The fourth proportional to 533.06, 735.33 and 386.06 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 735.33 = 386.06 : x
  2. Step 2: Convert to fraction form
    533.06/735.33 = 386.06/x
  3. Step 3: Cross multiply
    533.06x = 735.33 × 386.06
  4. Step 4: Simplify right side
    533.06x = 283,881.50
  5. Step 5: Solve for x
    x = 283,881.50/533.06
  6. Step 6: Final answer
    x = 532.55

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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.