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Finding the Fourth Proportional to 844.23, 1,164.99 and 529.50

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Solution

The fourth proportional to 844.23, 1,164.99 and 529.50 is: 730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.23 : 1,164.99 = 529.50 : x
  2. Step 2: Convert to fraction form
    844.23/1,164.99 = 529.50/x
  3. Step 3: Cross multiply
    844.23x = 1,164.99 × 529.50
  4. Step 4: Simplify right side
    844.23x = 616,862.21
  5. Step 5: Solve for x
    x = 616,862.21/844.23
  6. Step 6: Final answer
    x = 730.68

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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.