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Finding the Fourth Proportional to 866.13, 1,194.53 and 586.29

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Solution

The fourth proportional to 866.13, 1,194.53 and 586.29 is: 808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,194.53 = 586.29 : x
  2. Step 2: Convert to fraction form
    866.13/1,194.53 = 586.29/x
  3. Step 3: Cross multiply
    866.13x = 1,194.53 × 586.29
  4. Step 4: Simplify right side
    866.13x = 700,338.06
  5. Step 5: Solve for x
    x = 700,338.06/866.13
  6. Step 6: Final answer
    x = 808.58

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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.