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Finding the Fourth Proportional to 1,373.07, 2,059.92 and 399.14

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Solution

The fourth proportional to 1,373.07, 2,059.92 and 399.14 is: 598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.07 : 2,059.92 = 399.14 : x
  2. Step 2: Convert to fraction form
    1,373.07/2,059.92 = 399.14/x
  3. Step 3: Cross multiply
    1,373.07x = 2,059.92 × 399.14
  4. Step 4: Simplify right side
    1,373.07x = 822,186.17
  5. Step 5: Solve for x
    x = 822,186.17/1,373.07
  6. Step 6: Final answer
    x = 598.79

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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.