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Finding the Fourth Proportional to 869.89, 1,200.45 and 538.24

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Solution

The fourth proportional to 869.89, 1,200.45 and 538.24 is: 742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.89 : 1,200.45 = 538.24 : x
  2. Step 2: Convert to fraction form
    869.89/1,200.45 = 538.24/x
  3. Step 3: Cross multiply
    869.89x = 1,200.45 × 538.24
  4. Step 4: Simplify right side
    869.89x = 646,130.21
  5. Step 5: Solve for x
    x = 646,130.21/869.89
  6. Step 6: Final answer
    x = 742.77

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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.