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Finding the Fourth Proportional to 557.88, 769.91 and 325.05

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Solution

The fourth proportional to 557.88, 769.91 and 325.05 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 769.91 = 325.05 : x
  2. Step 2: Convert to fraction form
    557.88/769.91 = 325.05/x
  3. Step 3: Cross multiply
    557.88x = 769.91 × 325.05
  4. Step 4: Simplify right side
    557.88x = 250,259.25
  5. Step 5: Solve for x
    x = 250,259.25/557.88
  6. Step 6: Final answer
    x = 448.59

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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.