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Finding the Fourth Proportional to 513.88, 766.37 and 456.04

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Solution

The fourth proportional to 513.88, 766.37 and 456.04 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.88 : 766.37 = 456.04 : x
  2. Step 2: Convert to fraction form
    513.88/766.37 = 456.04/x
  3. Step 3: Cross multiply
    513.88x = 766.37 × 456.04
  4. Step 4: Simplify right side
    513.88x = 349,495.37
  5. Step 5: Solve for x
    x = 349,495.37/513.88
  6. Step 6: Final answer
    x = 680.11

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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.