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Finding the Fourth Proportional to 511.60, 763.46 and 408.40

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Solution

The fourth proportional to 511.60, 763.46 and 408.40 is: 609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 763.46 = 408.40 : x
  2. Step 2: Convert to fraction form
    511.60/763.46 = 408.40/x
  3. Step 3: Cross multiply
    511.60x = 763.46 × 408.40
  4. Step 4: Simplify right side
    511.60x = 311,797.06
  5. Step 5: Solve for x
    x = 311,797.06/511.60
  6. Step 6: Final answer
    x = 609.45

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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.