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Finding the Fourth Proportional to 861.48, 1,291.30 and 739.37

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Solution

The fourth proportional to 861.48, 1,291.30 and 739.37 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.48 : 1,291.30 = 739.37 : x
  2. Step 2: Convert to fraction form
    861.48/1,291.30 = 739.37/x
  3. Step 3: Cross multiply
    861.48x = 1,291.30 × 739.37
  4. Step 4: Simplify right side
    861.48x = 954,748.48
  5. Step 5: Solve for x
    x = 954,748.48/861.48
  6. Step 6: Final answer
    x = 1,108.27

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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.