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Finding the Fourth Proportional to 1,049.15, 1,447.74 and 606.75

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Solution

The fourth proportional to 1,049.15, 1,447.74 and 606.75 is: 837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.15 : 1,447.74 = 606.75 : x
  2. Step 2: Convert to fraction form
    1,049.15/1,447.74 = 606.75/x
  3. Step 3: Cross multiply
    1,049.15x = 1,447.74 × 606.75
  4. Step 4: Simplify right side
    1,049.15x = 878,416.25
  5. Step 5: Solve for x
    x = 878,416.25/1,049.15
  6. Step 6: Final answer
    x = 837.26

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1.5x scale

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.