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Finding the Fourth Proportional to 1,373.76, 2,060.64 and 399.87

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Solution

The fourth proportional to 1,373.76, 2,060.64 and 399.87 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.76 : 2,060.64 = 399.87 : x
  2. Step 2: Convert to fraction form
    1,373.76/2,060.64 = 399.87/x
  3. Step 3: Cross multiply
    1,373.76x = 2,060.64 × 399.87
  4. Step 4: Simplify right side
    1,373.76x = 823,988.12
  5. Step 5: Solve for x
    x = 823,988.12/1,373.76
  6. Step 6: Final answer
    x = 599.81

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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.