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Finding the Fourth Proportional to 1,101.01, 1,650.90 and 452.20

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Solution

The fourth proportional to 1,101.01, 1,650.90 and 452.20 is: 678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.01 : 1,650.90 = 452.20 : x
  2. Step 2: Convert to fraction form
    1,101.01/1,650.90 = 452.20/x
  3. Step 3: Cross multiply
    1,101.01x = 1,650.90 × 452.20
  4. Step 4: Simplify right side
    1,101.01x = 746,536.98
  5. Step 5: Solve for x
    x = 746,536.98/1,101.01
  6. Step 6: Final answer
    x = 678.05

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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.