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Finding the Fourth Proportional to 783.23, 1,168.21 and 660.65

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Solution

The fourth proportional to 783.23, 1,168.21 and 660.65 is: 985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.23 : 1,168.21 = 660.65 : x
  2. Step 2: Convert to fraction form
    783.23/1,168.21 = 660.65/x
  3. Step 3: Cross multiply
    783.23x = 1,168.21 × 660.65
  4. Step 4: Simplify right side
    783.23x = 771,768.79
  5. Step 5: Solve for x
    x = 771,768.79/783.23
  6. Step 6: Final answer
    x = 985.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.