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Finding the Fourth Proportional to 829.20, 1,244.11 and 598.35

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Solution

The fourth proportional to 829.20, 1,244.11 and 598.35 is: 897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,244.11 = 598.35 : x
  2. Step 2: Convert to fraction form
    829.20/1,244.11 = 598.35/x
  3. Step 3: Cross multiply
    829.20x = 1,244.11 × 598.35
  4. Step 4: Simplify right side
    829.20x = 744,413.22
  5. Step 5: Solve for x
    x = 744,413.22/829.20
  6. Step 6: Final answer
    x = 897.75

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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.