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Finding the Fourth Proportional to 869.58, 1,196.91 and 720.54

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Solution

The fourth proportional to 869.58, 1,196.91 and 720.54 is: 991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.58 : 1,196.91 = 720.54 : x
  2. Step 2: Convert to fraction form
    869.58/1,196.91 = 720.54/x
  3. Step 3: Cross multiply
    869.58x = 1,196.91 × 720.54
  4. Step 4: Simplify right side
    869.58x = 862,421.53
  5. Step 5: Solve for x
    x = 862,421.53/869.58
  6. Step 6: Final answer
    x = 991.77

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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.