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Finding the Fourth Proportional to 511.19, 765.16 and 433.43

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Solution

The fourth proportional to 511.19, 765.16 and 433.43 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 765.16 = 433.43 : x
  2. Step 2: Convert to fraction form
    511.19/765.16 = 433.43/x
  3. Step 3: Cross multiply
    511.19x = 765.16 × 433.43
  4. Step 4: Simplify right side
    511.19x = 331,643.30
  5. Step 5: Solve for x
    x = 331,643.30/511.19
  6. Step 6: Final answer
    x = 648.77

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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.