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Finding the Fourth Proportional to 762.39, 1,052.07 and 413.07

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Solution

The fourth proportional to 762.39, 1,052.07 and 413.07 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.39 : 1,052.07 = 413.07 : x
  2. Step 2: Convert to fraction form
    762.39/1,052.07 = 413.07/x
  3. Step 3: Cross multiply
    762.39x = 1,052.07 × 413.07
  4. Step 4: Simplify right side
    762.39x = 434,578.55
  5. Step 5: Solve for x
    x = 434,578.55/762.39
  6. Step 6: Final answer
    x = 570.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.