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Finding the Fourth Proportional to 844.63, 1,165.16 and 564.95

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Solution

The fourth proportional to 844.63, 1,165.16 and 564.95 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.63 : 1,165.16 = 564.95 : x
  2. Step 2: Convert to fraction form
    844.63/1,165.16 = 564.95/x
  3. Step 3: Cross multiply
    844.63x = 1,165.16 × 564.95
  4. Step 4: Simplify right side
    844.63x = 658,261.47
  5. Step 5: Solve for x
    x = 658,261.47/844.63
  6. Step 6: Final answer
    x = 779.35

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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.