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Finding the Fourth Proportional to 575.40, 862.29 and 413.40

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Solution

The fourth proportional to 575.40, 862.29 and 413.40 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 862.29 = 413.40 : x
  2. Step 2: Convert to fraction form
    575.40/862.29 = 413.40/x
  3. Step 3: Cross multiply
    575.40x = 862.29 × 413.40
  4. Step 4: Simplify right side
    575.40x = 356,470.69
  5. Step 5: Solve for x
    x = 356,470.69/575.40
  6. Step 6: Final answer
    x = 619.52

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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.