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Finding the Fourth Proportional to 799.47, 1,099.80 and 651.78

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Solution

The fourth proportional to 799.47, 1,099.80 and 651.78 is: 896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.47 : 1,099.80 = 651.78 : x
  2. Step 2: Convert to fraction form
    799.47/1,099.80 = 651.78/x
  3. Step 3: Cross multiply
    799.47x = 1,099.80 × 651.78
  4. Step 4: Simplify right side
    799.47x = 716,827.64
  5. Step 5: Solve for x
    x = 716,827.64/799.47
  6. Step 6: Final answer
    x = 896.63

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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.