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Finding the Fourth Proportional to 1,049.02, 1,447.65 and 606.91

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Solution

The fourth proportional to 1,049.02, 1,447.65 and 606.91 is: 837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.02 : 1,447.65 = 606.91 : x
  2. Step 2: Convert to fraction form
    1,049.02/1,447.65 = 606.91/x
  3. Step 3: Cross multiply
    1,049.02x = 1,447.65 × 606.91
  4. Step 4: Simplify right side
    1,049.02x = 878,593.26
  5. Step 5: Solve for x
    x = 878,593.26/1,049.02
  6. Step 6: Final answer
    x = 837.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.