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Finding the Fourth Proportional to 486.09, 727.76 and 302.93

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Solution

The fourth proportional to 486.09, 727.76 and 302.93 is: 453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 727.76 = 302.93 : x
  2. Step 2: Convert to fraction form
    486.09/727.76 = 302.93/x
  3. Step 3: Cross multiply
    486.09x = 727.76 × 302.93
  4. Step 4: Simplify right side
    486.09x = 220,460.34
  5. Step 5: Solve for x
    x = 220,460.34/486.09
  6. Step 6: Final answer
    x = 453.54

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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.