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Finding the Fourth Proportional to 891.45, 1,228.35 and 758.21

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Solution

The fourth proportional to 891.45, 1,228.35 and 758.21 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.45 : 1,228.35 = 758.21 : x
  2. Step 2: Convert to fraction form
    891.45/1,228.35 = 758.21/x
  3. Step 3: Cross multiply
    891.45x = 1,228.35 × 758.21
  4. Step 4: Simplify right side
    891.45x = 931,341.11
  5. Step 5: Solve for x
    x = 931,341.11/891.45
  6. Step 6: Final answer
    x = 1,044.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.