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Finding the Fourth Proportional to 588.89, 812.63 and 378.99

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Solution

The fourth proportional to 588.89, 812.63 and 378.99 is: 522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.89 : 812.63 = 378.99 : x
  2. Step 2: Convert to fraction form
    588.89/812.63 = 378.99/x
  3. Step 3: Cross multiply
    588.89x = 812.63 × 378.99
  4. Step 4: Simplify right side
    588.89x = 307,976.75
  5. Step 5: Solve for x
    x = 307,976.75/588.89
  6. Step 6: Final answer
    x = 522.98

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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.