Home / 1,553.02-2,325.54-820.96

Finding the Fourth Proportional to 1,553.02, 2,325.54 and 820.96

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Solution

The fourth proportional to 1,553.02, 2,325.54 and 820.96 is: 1,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.02 : 2,325.54 = 820.96 : x
  2. Step 2: Convert to fraction form
    1,553.02/2,325.54 = 820.96/x
  3. Step 3: Cross multiply
    1,553.02x = 2,325.54 × 820.96
  4. Step 4: Simplify right side
    1,553.02x = 1,909,175.32
  5. Step 5: Solve for x
    x = 1,909,175.32/1,553.02
  6. Step 6: Final answer
    x = 1,229.33

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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.