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Finding the Fourth Proportional to 861.24, 1,185.24 and 824.34

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Solution

The fourth proportional to 861.24, 1,185.24 and 824.34 is: 1,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.24 : 1,185.24 = 824.34 : x
  2. Step 2: Convert to fraction form
    861.24/1,185.24 = 824.34/x
  3. Step 3: Cross multiply
    861.24x = 1,185.24 × 824.34
  4. Step 4: Simplify right side
    861.24x = 977,040.74
  5. Step 5: Solve for x
    x = 977,040.74/861.24
  6. Step 6: Final answer
    x = 1,134.46

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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.