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Finding the Fourth Proportional to 559, 771.42 and 322.80

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Solution

The fourth proportional to 559, 771.42 and 322.80 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    559 : 771.42 = 322.80 : x
  2. Step 2: Convert to fraction form
    559/771.42 = 322.80/x
  3. Step 3: Cross multiply
    559x = 771.42 × 322.80
  4. Step 4: Simplify right side
    559x = 249,014.38
  5. Step 5: Solve for x
    x = 249,014.38/559
  6. Step 6: Final answer
    x = 445.46

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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.