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Finding the Fourth Proportional to 602.60, 831.75 and 381.62

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Solution

The fourth proportional to 602.60, 831.75 and 381.62 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 831.75 = 381.62 : x
  2. Step 2: Convert to fraction form
    602.60/831.75 = 381.62/x
  3. Step 3: Cross multiply
    602.60x = 831.75 × 381.62
  4. Step 4: Simplify right side
    602.60x = 317,412.44
  5. Step 5: Solve for x
    x = 317,412.44/602.60
  6. Step 6: Final answer
    x = 526.74

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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.