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Finding the Fourth Proportional to 602.63, 831.22 and 427.67

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Solution

The fourth proportional to 602.63, 831.22 and 427.67 is: 589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 831.22 = 427.67 : x
  2. Step 2: Convert to fraction form
    602.63/831.22 = 427.67/x
  3. Step 3: Cross multiply
    602.63x = 831.22 × 427.67
  4. Step 4: Simplify right side
    602.63x = 355,487.86
  5. Step 5: Solve for x
    x = 355,487.86/602.63
  6. Step 6: Final answer
    x = 589.89

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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.