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Finding the Fourth Proportional to 843.04, 1,160.66 and 665.68

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Solution

The fourth proportional to 843.04, 1,160.66 and 665.68 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.04 : 1,160.66 = 665.68 : x
  2. Step 2: Convert to fraction form
    843.04/1,160.66 = 665.68/x
  3. Step 3: Cross multiply
    843.04x = 1,160.66 × 665.68
  4. Step 4: Simplify right side
    843.04x = 772,628.15
  5. Step 5: Solve for x
    x = 772,628.15/843.04
  6. Step 6: Final answer
    x = 916.48

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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.