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Finding the Fourth Proportional to 843.48, 1,164.78 and 647.46

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Solution

The fourth proportional to 843.48, 1,164.78 and 647.46 is: 894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.48 : 1,164.78 = 647.46 : x
  2. Step 2: Convert to fraction form
    843.48/1,164.78 = 647.46/x
  3. Step 3: Cross multiply
    843.48x = 1,164.78 × 647.46
  4. Step 4: Simplify right side
    843.48x = 754,148.46
  5. Step 5: Solve for x
    x = 754,148.46/843.48
  6. Step 6: Final answer
    x = 894.09

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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.