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Finding the Fourth Proportional to 603.59, 831.63 and 406.76

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Solution

The fourth proportional to 603.59, 831.63 and 406.76 is: 560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 831.63 = 406.76 : x
  2. Step 2: Convert to fraction form
    603.59/831.63 = 406.76/x
  3. Step 3: Cross multiply
    603.59x = 831.63 × 406.76
  4. Step 4: Simplify right side
    603.59x = 338,273.82
  5. Step 5: Solve for x
    x = 338,273.82/603.59
  6. Step 6: Final answer
    x = 560.44

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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.