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Finding the Fourth Proportional to 410.24, 609.80 and 399.17

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Solution

The fourth proportional to 410.24, 609.80 and 399.17 is: 593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 609.80 = 399.17 : x
  2. Step 2: Convert to fraction form
    410.24/609.80 = 399.17/x
  3. Step 3: Cross multiply
    410.24x = 609.80 × 399.17
  4. Step 4: Simplify right side
    410.24x = 243,413.87
  5. Step 5: Solve for x
    x = 243,413.87/410.24
  6. Step 6: Final answer
    x = 593.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.