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Finding the Fourth Proportional to 829.14, 1,143.52 and 580.15

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Solution

The fourth proportional to 829.14, 1,143.52 and 580.15 is: 800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,143.52 = 580.15 : x
  2. Step 2: Convert to fraction form
    829.14/1,143.52 = 580.15/x
  3. Step 3: Cross multiply
    829.14x = 1,143.52 × 580.15
  4. Step 4: Simplify right side
    829.14x = 663,413.13
  5. Step 5: Solve for x
    x = 663,413.13/829.14
  6. Step 6: Final answer
    x = 800.12

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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.