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Finding the Fourth Proportional to 602.50, 831.11 and 381.07

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Solution

The fourth proportional to 602.50, 831.11 and 381.07 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.50 : 831.11 = 381.07 : x
  2. Step 2: Convert to fraction form
    602.50/831.11 = 381.07/x
  3. Step 3: Cross multiply
    602.50x = 831.11 × 381.07
  4. Step 4: Simplify right side
    602.50x = 316,708.86
  5. Step 5: Solve for x
    x = 316,708.86/602.50
  6. Step 6: Final answer
    x = 525.66

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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.