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Finding the Fourth Proportional to 1,049.49, 1,573.01 and 927.99

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Solution

The fourth proportional to 1,049.49, 1,573.01 and 927.99 is: 1,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.49 : 1,573.01 = 927.99 : x
  2. Step 2: Convert to fraction form
    1,049.49/1,573.01 = 927.99/x
  3. Step 3: Cross multiply
    1,049.49x = 1,573.01 × 927.99
  4. Step 4: Simplify right side
    1,049.49x = 1,459,739.87
  5. Step 5: Solve for x
    x = 1,459,739.87/1,049.49
  6. Step 6: Final answer
    x = 1,390.90

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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.