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Finding the Fourth Proportional to 648.74, 971.81 and 301.58

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Solution

The fourth proportional to 648.74, 971.81 and 301.58 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 971.81 = 301.58 : x
  2. Step 2: Convert to fraction form
    648.74/971.81 = 301.58/x
  3. Step 3: Cross multiply
    648.74x = 971.81 × 301.58
  4. Step 4: Simplify right side
    648.74x = 293,079.38
  5. Step 5: Solve for x
    x = 293,079.38/648.74
  6. Step 6: Final answer
    x = 451.77

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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.