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Finding the Fourth Proportional to 557.24, 769.06 and 409.94

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Solution

The fourth proportional to 557.24, 769.06 and 409.94 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.24 : 769.06 = 409.94 : x
  2. Step 2: Convert to fraction form
    557.24/769.06 = 409.94/x
  3. Step 3: Cross multiply
    557.24x = 769.06 × 409.94
  4. Step 4: Simplify right side
    557.24x = 315,268.46
  5. Step 5: Solve for x
    x = 315,268.46/557.24
  6. Step 6: Final answer
    x = 565.77

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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.