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Finding the Fourth Proportional to 893.12, 1,337.92 and 405.28

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Solution

The fourth proportional to 893.12, 1,337.92 and 405.28 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.12 : 1,337.92 = 405.28 : x
  2. Step 2: Convert to fraction form
    893.12/1,337.92 = 405.28/x
  3. Step 3: Cross multiply
    893.12x = 1,337.92 × 405.28
  4. Step 4: Simplify right side
    893.12x = 542,232.22
  5. Step 5: Solve for x
    x = 542,232.22/893.12
  6. Step 6: Final answer
    x = 607.12

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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.