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Finding the Fourth Proportional to 552.14, 761.15 and 420.92

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Solution

The fourth proportional to 552.14, 761.15 and 420.92 is: 580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 761.15 = 420.92 : x
  2. Step 2: Convert to fraction form
    552.14/761.15 = 420.92/x
  3. Step 3: Cross multiply
    552.14x = 761.15 × 420.92
  4. Step 4: Simplify right side
    552.14x = 320,383.26
  5. Step 5: Solve for x
    x = 320,383.26/552.14
  6. Step 6: Final answer
    x = 580.26

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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.