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Finding the Fourth Proportional to 460.79, 688.30 and 344.60

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Solution

The fourth proportional to 460.79, 688.30 and 344.60 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.79 : 688.30 = 344.60 : x
  2. Step 2: Convert to fraction form
    460.79/688.30 = 344.60/x
  3. Step 3: Cross multiply
    460.79x = 688.30 × 344.60
  4. Step 4: Simplify right side
    460.79x = 237,190.33
  5. Step 5: Solve for x
    x = 237,190.33/460.79
  6. Step 6: Final answer
    x = 514.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.