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Finding the Fourth Proportional to 609.13, 840.34 and 384.98

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Solution

The fourth proportional to 609.13, 840.34 and 384.98 is: 531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.13 : 840.34 = 384.98 : x
  2. Step 2: Convert to fraction form
    609.13/840.34 = 384.98/x
  3. Step 3: Cross multiply
    609.13x = 840.34 × 384.98
  4. Step 4: Simplify right side
    609.13x = 323,515.10
  5. Step 5: Solve for x
    x = 323,515.10/609.13
  6. Step 6: Final answer
    x = 531.11

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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.