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Finding the Fourth Proportional to 648.93, 973.71 and 258.96

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Solution

The fourth proportional to 648.93, 973.71 and 258.96 is: 388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.93 : 973.71 = 258.96 : x
  2. Step 2: Convert to fraction form
    648.93/973.71 = 258.96/x
  3. Step 3: Cross multiply
    648.93x = 973.71 × 258.96
  4. Step 4: Simplify right side
    648.93x = 252,151.94
  5. Step 5: Solve for x
    x = 252,151.94/648.93
  6. Step 6: Final answer
    x = 388.57

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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.