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Finding the Fourth Proportional to 1,049.32, 1,447.99 and 607.19

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Solution

The fourth proportional to 1,049.32, 1,447.99 and 607.19 is: 837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.32 : 1,447.99 = 607.19 : x
  2. Step 2: Convert to fraction form
    1,049.32/1,447.99 = 607.19/x
  3. Step 3: Cross multiply
    1,049.32x = 1,447.99 × 607.19
  4. Step 4: Simplify right side
    1,049.32x = 879,205.05
  5. Step 5: Solve for x
    x = 879,205.05/1,049.32
  6. Step 6: Final answer
    x = 837.88

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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.