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Finding the Fourth Proportional to 513.12, 766.96 and 405.04

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Solution

The fourth proportional to 513.12, 766.96 and 405.04 is: 605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 766.96 = 405.04 : x
  2. Step 2: Convert to fraction form
    513.12/766.96 = 405.04/x
  3. Step 3: Cross multiply
    513.12x = 766.96 × 405.04
  4. Step 4: Simplify right side
    513.12x = 310,649.48
  5. Step 5: Solve for x
    x = 310,649.48/513.12
  6. Step 6: Final answer
    x = 605.41

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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.