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Finding the Fourth Proportional to 552.06, 761.22 and 420.84

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Solution

The fourth proportional to 552.06, 761.22 and 420.84 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 761.22 = 420.84 : x
  2. Step 2: Convert to fraction form
    552.06/761.22 = 420.84/x
  3. Step 3: Cross multiply
    552.06x = 761.22 × 420.84
  4. Step 4: Simplify right side
    552.06x = 320,351.82
  5. Step 5: Solve for x
    x = 320,351.82/552.06
  6. Step 6: Final answer
    x = 580.28

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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.