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Finding the Fourth Proportional to 893.65, 1,234.25 and 728.71

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Solution

The fourth proportional to 893.65, 1,234.25 and 728.71 is: 1,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.65 : 1,234.25 = 728.71 : x
  2. Step 2: Convert to fraction form
    893.65/1,234.25 = 728.71/x
  3. Step 3: Cross multiply
    893.65x = 1,234.25 × 728.71
  4. Step 4: Simplify right side
    893.65x = 899,410.32
  5. Step 5: Solve for x
    x = 899,410.32/893.65
  6. Step 6: Final answer
    x = 1,006.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.