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Finding the Fourth Proportional to 559.48, 771.42 and 412.06

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Solution

The fourth proportional to 559.48, 771.42 and 412.06 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 771.42 = 412.06 : x
  2. Step 2: Convert to fraction form
    559.48/771.42 = 412.06/x
  3. Step 3: Cross multiply
    559.48x = 771.42 × 412.06
  4. Step 4: Simplify right side
    559.48x = 317,871.33
  5. Step 5: Solve for x
    x = 317,871.33/559.48
  6. Step 6: Final answer
    x = 568.15

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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.