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Finding the Fourth Proportional to 487.73, 672.83 and 301.16

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Solution

The fourth proportional to 487.73, 672.83 and 301.16 is: 415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.73 : 672.83 = 301.16 : x
  2. Step 2: Convert to fraction form
    487.73/672.83 = 301.16/x
  3. Step 3: Cross multiply
    487.73x = 672.83 × 301.16
  4. Step 4: Simplify right side
    487.73x = 202,629.48
  5. Step 5: Solve for x
    x = 202,629.48/487.73
  6. Step 6: Final answer
    x = 415.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.