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Finding the Fourth Proportional to 1,170.55, 1,753.31 and 553.33

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Solution

The fourth proportional to 1,170.55, 1,753.31 and 553.33 is: 828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.55 : 1,753.31 = 553.33 : x
  2. Step 2: Convert to fraction form
    1,170.55/1,753.31 = 553.33/x
  3. Step 3: Cross multiply
    1,170.55x = 1,753.31 × 553.33
  4. Step 4: Simplify right side
    1,170.55x = 970,156.26
  5. Step 5: Solve for x
    x = 970,156.26/1,170.55
  6. Step 6: Final answer
    x = 828.80

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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.