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Finding the Fourth Proportional to 823.69, 1,135.92 and 602.83

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Solution

The fourth proportional to 823.69, 1,135.92 and 602.83 is: 831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.69 : 1,135.92 = 602.83 : x
  2. Step 2: Convert to fraction form
    823.69/1,135.92 = 602.83/x
  3. Step 3: Cross multiply
    823.69x = 1,135.92 × 602.83
  4. Step 4: Simplify right side
    823.69x = 684,766.65
  5. Step 5: Solve for x
    x = 684,766.65/823.69
  6. Step 6: Final answer
    x = 831.34

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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.