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Finding the Fourth Proportional to 557.09, 769.15 and 409.47

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Solution

The fourth proportional to 557.09, 769.15 and 409.47 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.09 : 769.15 = 409.47 : x
  2. Step 2: Convert to fraction form
    557.09/769.15 = 409.47/x
  3. Step 3: Cross multiply
    557.09x = 769.15 × 409.47
  4. Step 4: Simplify right side
    557.09x = 314,943.50
  5. Step 5: Solve for x
    x = 314,943.50/557.09
  6. Step 6: Final answer
    x = 565.33

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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.