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Finding the Fourth Proportional to 609.72, 915.79 and 378.87

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Solution

The fourth proportional to 609.72, 915.79 and 378.87 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 915.79 = 378.87 : x
  2. Step 2: Convert to fraction form
    609.72/915.79 = 378.87/x
  3. Step 3: Cross multiply
    609.72x = 915.79 × 378.87
  4. Step 4: Simplify right side
    609.72x = 346,965.36
  5. Step 5: Solve for x
    x = 346,965.36/609.72
  6. Step 6: Final answer
    x = 569.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.