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Finding the Fourth Proportional to 1,608.64, 2,413.20 and 513.04

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Solution

The fourth proportional to 1,608.64, 2,413.20 and 513.04 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.64 : 2,413.20 = 513.04 : x
  2. Step 2: Convert to fraction form
    1,608.64/2,413.20 = 513.04/x
  3. Step 3: Cross multiply
    1,608.64x = 2,413.20 × 513.04
  4. Step 4: Simplify right side
    1,608.64x = 1,238,068.13
  5. Step 5: Solve for x
    x = 1,238,068.13/1,608.64
  6. Step 6: Final answer
    x = 769.64

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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.