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Finding the Fourth Proportional to 787.26, 1,180.92 and 510.24

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Solution

The fourth proportional to 787.26, 1,180.92 and 510.24 is: 765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,180.92 = 510.24 : x
  2. Step 2: Convert to fraction form
    787.26/1,180.92 = 510.24/x
  3. Step 3: Cross multiply
    787.26x = 1,180.92 × 510.24
  4. Step 4: Simplify right side
    787.26x = 602,552.62
  5. Step 5: Solve for x
    x = 602,552.62/787.26
  6. Step 6: Final answer
    x = 765.38

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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.