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Finding the Fourth Proportional to 844.48, 1,164.36 and 655.48

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Solution

The fourth proportional to 844.48, 1,164.36 and 655.48 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.48 : 1,164.36 = 655.48 : x
  2. Step 2: Convert to fraction form
    844.48/1,164.36 = 655.48/x
  3. Step 3: Cross multiply
    844.48x = 1,164.36 × 655.48
  4. Step 4: Simplify right side
    844.48x = 763,214.69
  5. Step 5: Solve for x
    x = 763,214.69/844.48
  6. Step 6: Final answer
    x = 903.77

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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.