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Finding the Fourth Proportional to 800.62, 1,200.93 and 638.62

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Solution

The fourth proportional to 800.62, 1,200.93 and 638.62 is: 957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.62 : 1,200.93 = 638.62 : x
  2. Step 2: Convert to fraction form
    800.62/1,200.93 = 638.62/x
  3. Step 3: Cross multiply
    800.62x = 1,200.93 × 638.62
  4. Step 4: Simplify right side
    800.62x = 766,937.92
  5. Step 5: Solve for x
    x = 766,937.92/800.62
  6. Step 6: Final answer
    x = 957.93

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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.