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Finding the Fourth Proportional to 557.52, 837.05 and 283.80

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Solution

The fourth proportional to 557.52, 837.05 and 283.80 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 837.05 = 283.80 : x
  2. Step 2: Convert to fraction form
    557.52/837.05 = 283.80/x
  3. Step 3: Cross multiply
    557.52x = 837.05 × 283.80
  4. Step 4: Simplify right side
    557.52x = 237,553.37
  5. Step 5: Solve for x
    x = 237,553.37/557.52
  6. Step 6: Final answer
    x = 426.09

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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.