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Finding the Fourth Proportional to 925.19, 1,386.21 and 808.35

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Solution

The fourth proportional to 925.19, 1,386.21 and 808.35 is: 1,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.19 : 1,386.21 = 808.35 : x
  2. Step 2: Convert to fraction form
    925.19/1,386.21 = 808.35/x
  3. Step 3: Cross multiply
    925.19x = 1,386.21 × 808.35
  4. Step 4: Simplify right side
    925.19x = 1,120,540.69
  5. Step 5: Solve for x
    x = 1,120,540.69/925.19
  6. Step 6: Final answer
    x = 1,211.15

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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.