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Finding the Fourth Proportional to 893.05, 1,337.49 and 868.46

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Solution

The fourth proportional to 893.05, 1,337.49 and 868.46 is: 1,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.05 : 1,337.49 = 868.46 : x
  2. Step 2: Convert to fraction form
    893.05/1,337.49 = 868.46/x
  3. Step 3: Cross multiply
    893.05x = 1,337.49 × 868.46
  4. Step 4: Simplify right side
    893.05x = 1,161,549.88
  5. Step 5: Solve for x
    x = 1,161,549.88/893.05
  6. Step 6: Final answer
    x = 1,300.66

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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.