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Finding the Fourth Proportional to 786.99, 1,178.49 and 665.79

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Solution

The fourth proportional to 786.99, 1,178.49 and 665.79 is: 997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.99 : 1,178.49 = 665.79 : x
  2. Step 2: Convert to fraction form
    786.99/1,178.49 = 665.79/x
  3. Step 3: Cross multiply
    786.99x = 1,178.49 × 665.79
  4. Step 4: Simplify right side
    786.99x = 784,626.86
  5. Step 5: Solve for x
    x = 784,626.86/786.99
  6. Step 6: Final answer
    x = 997.00

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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.