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Finding the Fourth Proportional to 800.56, 1,201.56 and 619.88

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Solution

The fourth proportional to 800.56, 1,201.56 and 619.88 is: 930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.56 : 1,201.56 = 619.88 : x
  2. Step 2: Convert to fraction form
    800.56/1,201.56 = 619.88/x
  3. Step 3: Cross multiply
    800.56x = 1,201.56 × 619.88
  4. Step 4: Simplify right side
    800.56x = 744,823.01
  5. Step 5: Solve for x
    x = 744,823.01/800.56
  6. Step 6: Final answer
    x = 930.38

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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.