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Finding the Fourth Proportional to 1,353.29, 2,029.02 and 531.05

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Solution

The fourth proportional to 1,353.29, 2,029.02 and 531.05 is: 796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.29 : 2,029.02 = 531.05 : x
  2. Step 2: Convert to fraction form
    1,353.29/2,029.02 = 531.05/x
  3. Step 3: Cross multiply
    1,353.29x = 2,029.02 × 531.05
  4. Step 4: Simplify right side
    1,353.29x = 1,077,511.07
  5. Step 5: Solve for x
    x = 1,077,511.07/1,353.29
  6. Step 6: Final answer
    x = 796.22

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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.