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Finding the Fourth Proportional to 801.45, 1,199.89 and 619.20

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Solution

The fourth proportional to 801.45, 1,199.89 and 619.20 is: 927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.45 : 1,199.89 = 619.20 : x
  2. Step 2: Convert to fraction form
    801.45/1,199.89 = 619.20/x
  3. Step 3: Cross multiply
    801.45x = 1,199.89 × 619.20
  4. Step 4: Simplify right side
    801.45x = 742,971.89
  5. Step 5: Solve for x
    x = 742,971.89/801.45
  6. Step 6: Final answer
    x = 927.03

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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.