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Finding the Fourth Proportional to 638.80, 880.14 and 533.50

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Solution

The fourth proportional to 638.80, 880.14 and 533.50 is: 735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.80 : 880.14 = 533.50 : x
  2. Step 2: Convert to fraction form
    638.80/880.14 = 533.50/x
  3. Step 3: Cross multiply
    638.80x = 880.14 × 533.50
  4. Step 4: Simplify right side
    638.80x = 469,554.69
  5. Step 5: Solve for x
    x = 469,554.69/638.80
  6. Step 6: Final answer
    x = 735.06

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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.