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Finding the Fourth Proportional to 801.00, 1,199.17 and 647.23

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Solution

The fourth proportional to 801.00, 1,199.17 and 647.23 is: 968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.00 : 1,199.17 = 647.23 : x
  2. Step 2: Convert to fraction form
    801.00/1,199.17 = 647.23/x
  3. Step 3: Cross multiply
    801.00x = 1,199.17 × 647.23
  4. Step 4: Simplify right side
    801.00x = 776,134.44
  5. Step 5: Solve for x
    x = 776,134.44/801.00
  6. Step 6: Final answer
    x = 968.96

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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.