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Finding the Fourth Proportional to 893.16, 1,340.35 and 886.34

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Solution

The fourth proportional to 893.16, 1,340.35 and 886.34 is: 1,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,340.35 = 886.34 : x
  2. Step 2: Convert to fraction form
    893.16/1,340.35 = 886.34/x
  3. Step 3: Cross multiply
    893.16x = 1,340.35 × 886.34
  4. Step 4: Simplify right side
    893.16x = 1,188,006.95
  5. Step 5: Solve for x
    x = 1,188,006.95/893.16
  6. Step 6: Final answer
    x = 1,330.12

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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.