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Finding the Fourth Proportional to 866.48, 1,196.21 and 572.26

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Solution

The fourth proportional to 866.48, 1,196.21 and 572.26 is: 790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.48 : 1,196.21 = 572.26 : x
  2. Step 2: Convert to fraction form
    866.48/1,196.21 = 572.26/x
  3. Step 3: Cross multiply
    866.48x = 1,196.21 × 572.26
  4. Step 4: Simplify right side
    866.48x = 684,541.57
  5. Step 5: Solve for x
    x = 684,541.57/866.48
  6. Step 6: Final answer
    x = 790.03

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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.