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Finding the Fourth Proportional to 963.80, 1,445.14 and 553.03

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Solution

The fourth proportional to 963.80, 1,445.14 and 553.03 is: 829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.80 : 1,445.14 = 553.03 : x
  2. Step 2: Convert to fraction form
    963.80/1,445.14 = 553.03/x
  3. Step 3: Cross multiply
    963.80x = 1,445.14 × 553.03
  4. Step 4: Simplify right side
    963.80x = 799,202.85
  5. Step 5: Solve for x
    x = 799,202.85/963.80
  6. Step 6: Final answer
    x = 829.22

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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.