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Finding the Fourth Proportional to 552.42, 761.94 and 421.74

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Solution

The fourth proportional to 552.42, 761.94 and 421.74 is: 581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 761.94 = 421.74 : x
  2. Step 2: Convert to fraction form
    552.42/761.94 = 421.74/x
  3. Step 3: Cross multiply
    552.42x = 761.94 × 421.74
  4. Step 4: Simplify right side
    552.42x = 321,340.58
  5. Step 5: Solve for x
    x = 321,340.58/552.42
  6. Step 6: Final answer
    x = 581.70

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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.