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Finding the Fourth Proportional to 602.60, 831.38 and 381.60

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Solution

The fourth proportional to 602.60, 831.38 and 381.60 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 831.38 = 381.60 : x
  2. Step 2: Convert to fraction form
    602.60/831.38 = 381.60/x
  3. Step 3: Cross multiply
    602.60x = 831.38 × 381.60
  4. Step 4: Simplify right side
    602.60x = 317,252.70
  5. Step 5: Solve for x
    x = 317,252.70/602.60
  6. Step 6: Final answer
    x = 526.48

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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.