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Finding the Fourth Proportional to 864.56, 1,291.42 and 851.24

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Solution

The fourth proportional to 864.56, 1,291.42 and 851.24 is: 1,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.56 : 1,291.42 = 851.24 : x
  2. Step 2: Convert to fraction form
    864.56/1,291.42 = 851.24/x
  3. Step 3: Cross multiply
    864.56x = 1,291.42 × 851.24
  4. Step 4: Simplify right side
    864.56x = 1,099,308.36
  5. Step 5: Solve for x
    x = 1,099,308.36/864.56
  6. Step 6: Final answer
    x = 1,271.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.