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Finding the Fourth Proportional to 682.14, 940.08 and 557.40

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Solution

The fourth proportional to 682.14, 940.08 and 557.40 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 940.08 = 557.40 : x
  2. Step 2: Convert to fraction form
    682.14/940.08 = 557.40/x
  3. Step 3: Cross multiply
    682.14x = 940.08 × 557.40
  4. Step 4: Simplify right side
    682.14x = 524,000.59
  5. Step 5: Solve for x
    x = 524,000.59/682.14
  6. Step 6: Final answer
    x = 768.17

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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.