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Finding the Fourth Proportional to 588.46, 812.13 and 378.67

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Solution

The fourth proportional to 588.46, 812.13 and 378.67 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 812.13 = 378.67 : x
  2. Step 2: Convert to fraction form
    588.46/812.13 = 378.67/x
  3. Step 3: Cross multiply
    588.46x = 812.13 × 378.67
  4. Step 4: Simplify right side
    588.46x = 307,529.27
  5. Step 5: Solve for x
    x = 307,529.27/588.46
  6. Step 6: Final answer
    x = 522.60

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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.