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Finding the Fourth Proportional to 824.25, 1,135.90 and 603.27

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Solution

The fourth proportional to 824.25, 1,135.90 and 603.27 is: 831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.25 : 1,135.90 = 603.27 : x
  2. Step 2: Convert to fraction form
    824.25/1,135.90 = 603.27/x
  3. Step 3: Cross multiply
    824.25x = 1,135.90 × 603.27
  4. Step 4: Simplify right side
    824.25x = 685,254.39
  5. Step 5: Solve for x
    x = 685,254.39/824.25
  6. Step 6: Final answer
    x = 831.37

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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.