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Finding the Fourth Proportional to 844.88, 1,165.05 and 513.18

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Solution

The fourth proportional to 844.88, 1,165.05 and 513.18 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.88 : 1,165.05 = 513.18 : x
  2. Step 2: Convert to fraction form
    844.88/1,165.05 = 513.18/x
  3. Step 3: Cross multiply
    844.88x = 1,165.05 × 513.18
  4. Step 4: Simplify right side
    844.88x = 597,880.36
  5. Step 5: Solve for x
    x = 597,880.36/844.88
  6. Step 6: Final answer
    x = 707.66

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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.