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Finding the Fourth Proportional to 864.44, 1,297.75 and 693.24

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Solution

The fourth proportional to 864.44, 1,297.75 and 693.24 is: 1,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.44 : 1,297.75 = 693.24 : x
  2. Step 2: Convert to fraction form
    864.44/1,297.75 = 693.24/x
  3. Step 3: Cross multiply
    864.44x = 1,297.75 × 693.24
  4. Step 4: Simplify right side
    864.44x = 899,652.21
  5. Step 5: Solve for x
    x = 899,652.21/864.44
  6. Step 6: Final answer
    x = 1,040.73

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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.