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Finding the Fourth Proportional to 859.73, 1,291.64 and 552.18

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Solution

The fourth proportional to 859.73, 1,291.64 and 552.18 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.73 : 1,291.64 = 552.18 : x
  2. Step 2: Convert to fraction form
    859.73/1,291.64 = 552.18/x
  3. Step 3: Cross multiply
    859.73x = 1,291.64 × 552.18
  4. Step 4: Simplify right side
    859.73x = 713,215.01
  5. Step 5: Solve for x
    x = 713,215.01/859.73
  6. Step 6: Final answer
    x = 829.59

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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.