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Finding the Fourth Proportional to 893.36, 1,337.28 and 649.82

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Solution

The fourth proportional to 893.36, 1,337.28 and 649.82 is: 972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.36 : 1,337.28 = 649.82 : x
  2. Step 2: Convert to fraction form
    893.36/1,337.28 = 649.82/x
  3. Step 3: Cross multiply
    893.36x = 1,337.28 × 649.82
  4. Step 4: Simplify right side
    893.36x = 868,991.29
  5. Step 5: Solve for x
    x = 868,991.29/893.36
  6. Step 6: Final answer
    x = 972.72

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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.