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Finding the Fourth Proportional to 799.65, 1,197.61 and 771.93

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Solution

The fourth proportional to 799.65, 1,197.61 and 771.93 is: 1,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.65 : 1,197.61 = 771.93 : x
  2. Step 2: Convert to fraction form
    799.65/1,197.61 = 771.93/x
  3. Step 3: Cross multiply
    799.65x = 1,197.61 × 771.93
  4. Step 4: Simplify right side
    799.65x = 924,476.01
  5. Step 5: Solve for x
    x = 924,476.01/799.65
  6. Step 6: Final answer
    x = 1,156.10

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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.