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Finding the Fourth Proportional to 557.32, 835.22 and 420.25

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Solution

The fourth proportional to 557.32, 835.22 and 420.25 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.32 : 835.22 = 420.25 : x
  2. Step 2: Convert to fraction form
    557.32/835.22 = 420.25/x
  3. Step 3: Cross multiply
    557.32x = 835.22 × 420.25
  4. Step 4: Simplify right side
    557.32x = 351,001.21
  5. Step 5: Solve for x
    x = 351,001.21/557.32
  6. Step 6: Final answer
    x = 629.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.