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Finding the Fourth Proportional to 513.24, 766.37 and 403.80

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Solution

The fourth proportional to 513.24, 766.37 and 403.80 is: 602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 766.37 = 403.80 : x
  2. Step 2: Convert to fraction form
    513.24/766.37 = 403.80/x
  3. Step 3: Cross multiply
    513.24x = 766.37 × 403.80
  4. Step 4: Simplify right side
    513.24x = 309,460.21
  5. Step 5: Solve for x
    x = 309,460.21/513.24
  6. Step 6: Final answer
    x = 602.95

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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.