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Finding the Fourth Proportional to 1,049.37, 1,573.97 and 493.95

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Solution

The fourth proportional to 1,049.37, 1,573.97 and 493.95 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.37 : 1,573.97 = 493.95 : x
  2. Step 2: Convert to fraction form
    1,049.37/1,573.97 = 493.95/x
  3. Step 3: Cross multiply
    1,049.37x = 1,573.97 × 493.95
  4. Step 4: Simplify right side
    1,049.37x = 777,470.08
  5. Step 5: Solve for x
    x = 777,470.08/1,049.37
  6. Step 6: Final answer
    x = 740.89

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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.