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Finding the Fourth Proportional to 936.91, 1,292.63 and 564.03

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Solution

The fourth proportional to 936.91, 1,292.63 and 564.03 is: 778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.91 : 1,292.63 = 564.03 : x
  2. Step 2: Convert to fraction form
    936.91/1,292.63 = 564.03/x
  3. Step 3: Cross multiply
    936.91x = 1,292.63 × 564.03
  4. Step 4: Simplify right side
    936.91x = 729,082.10
  5. Step 5: Solve for x
    x = 729,082.10/936.91
  6. Step 6: Final answer
    x = 778.18

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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.