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Finding the Fourth Proportional to 410.70, 619.07 and 399.90

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Solution

The fourth proportional to 410.70, 619.07 and 399.90 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 619.07 = 399.90 : x
  2. Step 2: Convert to fraction form
    410.70/619.07 = 399.90/x
  3. Step 3: Cross multiply
    410.70x = 619.07 × 399.90
  4. Step 4: Simplify right side
    410.70x = 247,564.09
  5. Step 5: Solve for x
    x = 247,564.09/410.70
  6. Step 6: Final answer
    x = 602.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.