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Finding the Fourth Proportional to 925.46, 1,381.44 and 808.69

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Solution

The fourth proportional to 925.46, 1,381.44 and 808.69 is: 1,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.46 : 1,381.44 = 808.69 : x
  2. Step 2: Convert to fraction form
    925.46/1,381.44 = 808.69/x
  3. Step 3: Cross multiply
    925.46x = 1,381.44 × 808.69
  4. Step 4: Simplify right side
    925.46x = 1,117,154.33
  5. Step 5: Solve for x
    x = 1,117,154.33/925.46
  6. Step 6: Final answer
    x = 1,207.14

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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.