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Finding the Fourth Proportional to 557.81, 835.15 and 420.42

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Solution

The fourth proportional to 557.81, 835.15 and 420.42 is: 629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 835.15 = 420.42 : x
  2. Step 2: Convert to fraction form
    557.81/835.15 = 420.42/x
  3. Step 3: Cross multiply
    557.81x = 835.15 × 420.42
  4. Step 4: Simplify right side
    557.81x = 351,112.71
  5. Step 5: Solve for x
    x = 351,112.71/557.81
  6. Step 6: Final answer
    x = 629.45

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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.