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Finding the Fourth Proportional to 485.07, 727.07 and 279.47

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Solution

The fourth proportional to 485.07, 727.07 and 279.47 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.07 : 727.07 = 279.47 : x
  2. Step 2: Convert to fraction form
    485.07/727.07 = 279.47/x
  3. Step 3: Cross multiply
    485.07x = 727.07 × 279.47
  4. Step 4: Simplify right side
    485.07x = 203,189.22
  5. Step 5: Solve for x
    x = 203,189.22/485.07
  6. Step 6: Final answer
    x = 418.89

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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.