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Finding the Fourth Proportional to 603.35, 831.66 and 406.52

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Solution

The fourth proportional to 603.35, 831.66 and 406.52 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.35 : 831.66 = 406.52 : x
  2. Step 2: Convert to fraction form
    603.35/831.66 = 406.52/x
  3. Step 3: Cross multiply
    603.35x = 831.66 × 406.52
  4. Step 4: Simplify right side
    603.35x = 338,086.98
  5. Step 5: Solve for x
    x = 338,086.98/603.35
  6. Step 6: Final answer
    x = 560.35

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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.