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Finding the Fourth Proportional to 501.32, 752.09 and 413.60

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Solution

The fourth proportional to 501.32, 752.09 and 413.60 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 752.09 = 413.60 : x
  2. Step 2: Convert to fraction form
    501.32/752.09 = 413.60/x
  3. Step 3: Cross multiply
    501.32x = 752.09 × 413.60
  4. Step 4: Simplify right side
    501.32x = 311,058.60
  5. Step 5: Solve for x
    x = 311,058.60/501.32
  6. Step 6: Final answer
    x = 620.48

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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.