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Finding the Fourth Proportional to 896.61, 1,343.77 and 486.09

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Solution

The fourth proportional to 896.61, 1,343.77 and 486.09 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.61 : 1,343.77 = 486.09 : x
  2. Step 2: Convert to fraction form
    896.61/1,343.77 = 486.09/x
  3. Step 3: Cross multiply
    896.61x = 1,343.77 × 486.09
  4. Step 4: Simplify right side
    896.61x = 653,193.16
  5. Step 5: Solve for x
    x = 653,193.16/896.61
  6. Step 6: Final answer
    x = 728.51

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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.