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Finding the Fourth Proportional to 511.84, 766.32 and 405.20

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Solution

The fourth proportional to 511.84, 766.32 and 405.20 is: 606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 766.32 = 405.20 : x
  2. Step 2: Convert to fraction form
    511.84/766.32 = 405.20/x
  3. Step 3: Cross multiply
    511.84x = 766.32 × 405.20
  4. Step 4: Simplify right side
    511.84x = 310,512.86
  5. Step 5: Solve for x
    x = 310,512.86/511.84
  6. Step 6: Final answer
    x = 606.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.