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Finding the Fourth Proportional to 868.93, 1,302.22 and 813.58

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Solution

The fourth proportional to 868.93, 1,302.22 and 813.58 is: 1,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.93 : 1,302.22 = 813.58 : x
  2. Step 2: Convert to fraction form
    868.93/1,302.22 = 813.58/x
  3. Step 3: Cross multiply
    868.93x = 1,302.22 × 813.58
  4. Step 4: Simplify right side
    868.93x = 1,059,460.15
  5. Step 5: Solve for x
    x = 1,059,460.15/868.93
  6. Step 6: Final answer
    x = 1,219.27

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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.