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Finding the Fourth Proportional to 589.17, 812.51 and 378.97

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Solution

The fourth proportional to 589.17, 812.51 and 378.97 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.17 : 812.51 = 378.97 : x
  2. Step 2: Convert to fraction form
    589.17/812.51 = 378.97/x
  3. Step 3: Cross multiply
    589.17x = 812.51 × 378.97
  4. Step 4: Simplify right side
    589.17x = 307,916.91
  5. Step 5: Solve for x
    x = 307,916.91/589.17
  6. Step 6: Final answer
    x = 522.63

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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.