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Finding the Fourth Proportional to 600.32, 831.86 and 577.64

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Solution

The fourth proportional to 600.32, 831.86 and 577.64 is: 800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 831.86 = 577.64 : x
  2. Step 2: Convert to fraction form
    600.32/831.86 = 577.64/x
  3. Step 3: Cross multiply
    600.32x = 831.86 × 577.64
  4. Step 4: Simplify right side
    600.32x = 480,515.61
  5. Step 5: Solve for x
    x = 480,515.61/600.32
  6. Step 6: Final answer
    x = 800.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.