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Finding the Fourth Proportional to 606.64, 831.88 and 605.20

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Solution

The fourth proportional to 606.64, 831.88 and 605.20 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 831.88 = 605.20 : x
  2. Step 2: Convert to fraction form
    606.64/831.88 = 605.20/x
  3. Step 3: Cross multiply
    606.64x = 831.88 × 605.20
  4. Step 4: Simplify right side
    606.64x = 503,453.78
  5. Step 5: Solve for x
    x = 503,453.78/606.64
  6. Step 6: Final answer
    x = 829.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.