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Finding the Fourth Proportional to 602.56, 831.20 and 381.12

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Solution

The fourth proportional to 602.56, 831.20 and 381.12 is: 525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 831.20 = 381.12 : x
  2. Step 2: Convert to fraction form
    602.56/831.20 = 381.12/x
  3. Step 3: Cross multiply
    602.56x = 831.20 × 381.12
  4. Step 4: Simplify right side
    602.56x = 316,786.94
  5. Step 5: Solve for x
    x = 316,786.94/602.56
  6. Step 6: Final answer
    x = 525.74

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1.5x scale

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.