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Finding the Fourth Proportional to 762.38, 1,052.08 and 413.06

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Solution

The fourth proportional to 762.38, 1,052.08 and 413.06 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.38 : 1,052.08 = 413.06 : x
  2. Step 2: Convert to fraction form
    762.38/1,052.08 = 413.06/x
  3. Step 3: Cross multiply
    762.38x = 1,052.08 × 413.06
  4. Step 4: Simplify right side
    762.38x = 434,572.16
  5. Step 5: Solve for x
    x = 434,572.16/762.38
  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.