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Finding the Fourth Proportional to 804.62, 1,197.42 and 775.46

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Solution

The fourth proportional to 804.62, 1,197.42 and 775.46 is: 1,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.62 : 1,197.42 = 775.46 : x
  2. Step 2: Convert to fraction form
    804.62/1,197.42 = 775.46/x
  3. Step 3: Cross multiply
    804.62x = 1,197.42 × 775.46
  4. Step 4: Simplify right side
    804.62x = 928,545.33
  5. Step 5: Solve for x
    x = 928,545.33/804.62
  6. Step 6: Final answer
    x = 1,154.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.