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Finding the Fourth Proportional to 1,225.02, 1,837.61 and 669.01

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Solution

The fourth proportional to 1,225.02, 1,837.61 and 669.01 is: 1,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.02 : 1,837.61 = 669.01 : x
  2. Step 2: Convert to fraction form
    1,225.02/1,837.61 = 669.01/x
  3. Step 3: Cross multiply
    1,225.02x = 1,837.61 × 669.01
  4. Step 4: Simplify right side
    1,225.02x = 1,229,379.36
  5. Step 5: Solve for x
    x = 1,229,379.36/1,225.02
  6. Step 6: Final answer
    x = 1,003.56

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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.