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Finding the Fourth Proportional to 557.40, 768.02 and 409.80

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Solution

The fourth proportional to 557.40, 768.02 and 409.80 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 768.02 = 409.80 : x
  2. Step 2: Convert to fraction form
    557.40/768.02 = 409.80/x
  3. Step 3: Cross multiply
    557.40x = 768.02 × 409.80
  4. Step 4: Simplify right side
    557.40x = 314,732.55
  5. Step 5: Solve for x
    x = 314,732.55/557.40
  6. Step 6: Final answer
    x = 564.64

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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.