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Finding the Fourth Proportional to 609.53, 840.90 and 347.50

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Solution

The fourth proportional to 609.53, 840.90 and 347.50 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 840.90 = 347.50 : x
  2. Step 2: Convert to fraction form
    609.53/840.90 = 347.50/x
  3. Step 3: Cross multiply
    609.53x = 840.90 × 347.50
  4. Step 4: Simplify right side
    609.53x = 292,212.75
  5. Step 5: Solve for x
    x = 292,212.75/609.53
  6. Step 6: Final answer
    x = 479.41

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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.