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Finding the Fourth Proportional to 1,494.93, 2,242.24 and 399.40

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Solution

The fourth proportional to 1,494.93, 2,242.24 and 399.40 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.93 : 2,242.24 = 399.40 : x
  2. Step 2: Convert to fraction form
    1,494.93/2,242.24 = 399.40/x
  3. Step 3: Cross multiply
    1,494.93x = 2,242.24 × 399.40
  4. Step 4: Simplify right side
    1,494.93x = 895,552.46
  5. Step 5: Solve for x
    x = 895,552.46/1,494.93
  6. Step 6: Final answer
    x = 599.06

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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.