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Finding the Fourth Proportional to 787.17, 1,180.79 and 557.09

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Solution

The fourth proportional to 787.17, 1,180.79 and 557.09 is: 835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.17 : 1,180.79 = 557.09 : x
  2. Step 2: Convert to fraction form
    787.17/1,180.79 = 557.09/x
  3. Step 3: Cross multiply
    787.17x = 1,180.79 × 557.09
  4. Step 4: Simplify right side
    787.17x = 657,801.59
  5. Step 5: Solve for x
    x = 657,801.59/787.17
  6. Step 6: Final answer
    x = 835.66

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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.