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Finding the Fourth Proportional to 557.40, 768.75 and 408.03

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Solution

The fourth proportional to 557.40, 768.75 and 408.03 is: 562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 768.75 = 408.03 : x
  2. Step 2: Convert to fraction form
    557.40/768.75 = 408.03/x
  3. Step 3: Cross multiply
    557.40x = 768.75 × 408.03
  4. Step 4: Simplify right side
    557.40x = 313,673.06
  5. Step 5: Solve for x
    x = 313,673.06/557.40
  6. Step 6: Final answer
    x = 562.74

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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.