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Finding the Fourth Proportional to 844.83, 1,165.69 and 513.07

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Solution

The fourth proportional to 844.83, 1,165.69 and 513.07 is: 707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.83 : 1,165.69 = 513.07 : x
  2. Step 2: Convert to fraction form
    844.83/1,165.69 = 513.07/x
  3. Step 3: Cross multiply
    844.83x = 1,165.69 × 513.07
  4. Step 4: Simplify right side
    844.83x = 598,080.57
  5. Step 5: Solve for x
    x = 598,080.57/844.83
  6. Step 6: Final answer
    x = 707.93

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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.