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Finding the Fourth Proportional to 557.39, 837.90 and 455.33

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Solution

The fourth proportional to 557.39, 837.90 and 455.33 is: 684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.39 : 837.90 = 455.33 : x
  2. Step 2: Convert to fraction form
    557.39/837.90 = 455.33/x
  3. Step 3: Cross multiply
    557.39x = 837.90 × 455.33
  4. Step 4: Simplify right side
    557.39x = 381,516.82
  5. Step 5: Solve for x
    x = 381,516.82/557.39
  6. Step 6: Final answer
    x = 684.48

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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.