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Finding the Fourth Proportional to 609.34, 915.23 and 378.49

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Solution

The fourth proportional to 609.34, 915.23 and 378.49 is: 568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.34 : 915.23 = 378.49 : x
  2. Step 2: Convert to fraction form
    609.34/915.23 = 378.49/x
  3. Step 3: Cross multiply
    609.34x = 915.23 × 378.49
  4. Step 4: Simplify right side
    609.34x = 346,403.51
  5. Step 5: Solve for x
    x = 346,403.51/609.34
  6. Step 6: Final answer
    x = 568.49

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Double scale
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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.