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Finding the Fourth Proportional to 682.66, 940.43 and 564.14

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Solution

The fourth proportional to 682.66, 940.43 and 564.14 is: 777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.66 : 940.43 = 564.14 : x
  2. Step 2: Convert to fraction form
    682.66/940.43 = 564.14/x
  3. Step 3: Cross multiply
    682.66x = 940.43 × 564.14
  4. Step 4: Simplify right side
    682.66x = 530,534.18
  5. Step 5: Solve for x
    x = 530,534.18/682.66
  6. Step 6: Final answer
    x = 777.16

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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.