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Finding the Fourth Proportional to 1,373.81, 2,059.47 and 496.10

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Solution

The fourth proportional to 1,373.81, 2,059.47 and 496.10 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.81 : 2,059.47 = 496.10 : x
  2. Step 2: Convert to fraction form
    1,373.81/2,059.47 = 496.10/x
  3. Step 3: Cross multiply
    1,373.81x = 2,059.47 × 496.10
  4. Step 4: Simplify right side
    1,373.81x = 1,021,708.22
  5. Step 5: Solve for x
    x = 1,021,708.22/1,373.81
  6. Step 6: Final answer
    x = 743.71

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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.