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Finding the Fourth Proportional to 602.84, 831.74 and 478.12

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Solution

The fourth proportional to 602.84, 831.74 and 478.12 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 831.74 = 478.12 : x
  2. Step 2: Convert to fraction form
    602.84/831.74 = 478.12/x
  3. Step 3: Cross multiply
    602.84x = 831.74 × 478.12
  4. Step 4: Simplify right side
    602.84x = 397,668.62
  5. Step 5: Solve for x
    x = 397,668.62/602.84
  6. Step 6: Final answer
    x = 659.66

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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.