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Finding the Fourth Proportional to 557.60, 834.42 and 362.48

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Solution

The fourth proportional to 557.60, 834.42 and 362.48 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 834.42 = 362.48 : x
  2. Step 2: Convert to fraction form
    557.60/834.42 = 362.48/x
  3. Step 3: Cross multiply
    557.60x = 834.42 × 362.48
  4. Step 4: Simplify right side
    557.60x = 302,460.56
  5. Step 5: Solve for x
    x = 302,460.56/557.60
  6. Step 6: Final answer
    x = 542.43

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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.