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Finding the Fourth Proportional to 557.03, 835.25 and 279.08

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Solution

The fourth proportional to 557.03, 835.25 and 279.08 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.03 : 835.25 = 279.08 : x
  2. Step 2: Convert to fraction form
    557.03/835.25 = 279.08/x
  3. Step 3: Cross multiply
    557.03x = 835.25 × 279.08
  4. Step 4: Simplify right side
    557.03x = 233,104.36
  5. Step 5: Solve for x
    x = 233,104.36/557.03
  6. Step 6: Final answer
    x = 418.48

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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.