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Finding the Fourth Proportional to 609.54, 841.10 and 347.50

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Solution

The fourth proportional to 609.54, 841.10 and 347.50 is: 479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 841.10 = 347.50 : x
  2. Step 2: Convert to fraction form
    609.54/841.10 = 347.50/x
  3. Step 3: Cross multiply
    609.54x = 841.10 × 347.50
  4. Step 4: Simplify right side
    609.54x = 292,282.25
  5. Step 5: Solve for x
    x = 292,282.25/609.54
  6. Step 6: Final answer
    x = 479.51

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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.