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Finding the Fourth Proportional to 603, 831.78 and 559.28

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Solution

The fourth proportional to 603, 831.78 and 559.28 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 831.78 = 559.28 : x
  2. Step 2: Convert to fraction form
    603/831.78 = 559.28/x
  3. Step 3: Cross multiply
    603x = 831.78 × 559.28
  4. Step 4: Simplify right side
    603x = 465,197.92
  5. Step 5: Solve for x
    x = 465,197.92/603
  6. Step 6: Final answer
    x = 771.47

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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.