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Finding the Fourth Proportional to 602.46, 831.20 and 381.33

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Solution

The fourth proportional to 602.46, 831.20 and 381.33 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 831.20 = 381.33 : x
  2. Step 2: Convert to fraction form
    602.46/831.20 = 381.33/x
  3. Step 3: Cross multiply
    602.46x = 831.20 × 381.33
  4. Step 4: Simplify right side
    602.46x = 316,959.59
  5. Step 5: Solve for x
    x = 316,959.59/602.46
  6. Step 6: Final answer
    x = 526.11

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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.