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Finding the Fourth Proportional to 557.52, 834.72 and 420.14

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Solution

The fourth proportional to 557.52, 834.72 and 420.14 is: 629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 834.72 = 420.14 : x
  2. Step 2: Convert to fraction form
    557.52/834.72 = 420.14/x
  3. Step 3: Cross multiply
    557.52x = 834.72 × 420.14
  4. Step 4: Simplify right side
    557.52x = 350,699.79
  5. Step 5: Solve for x
    x = 350,699.79/557.52
  6. Step 6: Final answer
    x = 629.03

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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.