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Finding the Fourth Proportional to 799.57, 1,197.28 and 750.93

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Solution

The fourth proportional to 799.57, 1,197.28 and 750.93 is: 1,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.57 : 1,197.28 = 750.93 : x
  2. Step 2: Convert to fraction form
    799.57/1,197.28 = 750.93/x
  3. Step 3: Cross multiply
    799.57x = 1,197.28 × 750.93
  4. Step 4: Simplify right side
    799.57x = 899,073.47
  5. Step 5: Solve for x
    x = 899,073.47/799.57
  6. Step 6: Final answer
    x = 1,124.45

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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.