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Finding the Fourth Proportional to 787.56, 1,178.94 and 513.06

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Solution

The fourth proportional to 787.56, 1,178.94 and 513.06 is: 768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,178.94 = 513.06 : x
  2. Step 2: Convert to fraction form
    787.56/1,178.94 = 513.06/x
  3. Step 3: Cross multiply
    787.56x = 1,178.94 × 513.06
  4. Step 4: Simplify right side
    787.56x = 604,866.96
  5. Step 5: Solve for x
    x = 604,866.96/787.56
  6. Step 6: Final answer
    x = 768.03

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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.