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Finding the Fourth Proportional to 552.60, 761.76 and 421.36

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Solution

The fourth proportional to 552.60, 761.76 and 421.36 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 761.76 = 421.36 : x
  2. Step 2: Convert to fraction form
    552.60/761.76 = 421.36/x
  3. Step 3: Cross multiply
    552.60x = 761.76 × 421.36
  4. Step 4: Simplify right side
    552.60x = 320,975.19
  5. Step 5: Solve for x
    x = 320,975.19/552.60
  6. Step 6: Final answer
    x = 580.85

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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.