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Finding the Fourth Proportional to 1,152, 1,589.76 and 680.04

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Solution

The fourth proportional to 1,152, 1,589.76 and 680.04 is: 938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152 : 1,589.76 = 680.04 : x
  2. Step 2: Convert to fraction form
    1,152/1,589.76 = 680.04/x
  3. Step 3: Cross multiply
    1,152x = 1,589.76 × 680.04
  4. Step 4: Simplify right side
    1,152x = 1,081,100.39
  5. Step 5: Solve for x
    x = 1,081,100.39/1,152
  6. Step 6: Final answer
    x = 938.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.