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Finding the Fourth Proportional to 918.82, 1,267.82 and 564.62

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Solution

The fourth proportional to 918.82, 1,267.82 and 564.62 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.82 : 1,267.82 = 564.62 : x
  2. Step 2: Convert to fraction form
    918.82/1,267.82 = 564.62/x
  3. Step 3: Cross multiply
    918.82x = 1,267.82 × 564.62
  4. Step 4: Simplify right side
    918.82x = 715,841.37
  5. Step 5: Solve for x
    x = 715,841.37/918.82
  6. Step 6: Final answer
    x = 779.09

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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.