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Finding the Fourth Proportional to 1,164.27, 1,745.19 and 433.53

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Solution

The fourth proportional to 1,164.27, 1,745.19 and 433.53 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.27 : 1,745.19 = 433.53 : x
  2. Step 2: Convert to fraction form
    1,164.27/1,745.19 = 433.53/x
  3. Step 3: Cross multiply
    1,164.27x = 1,745.19 × 433.53
  4. Step 4: Simplify right side
    1,164.27x = 756,592.22
  5. Step 5: Solve for x
    x = 756,592.22/1,164.27
  6. Step 6: Final answer
    x = 649.84

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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.