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Finding the Fourth Proportional to 648.86, 973.68 and 258.78

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Solution

The fourth proportional to 648.86, 973.68 and 258.78 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 973.68 = 258.78 : x
  2. Step 2: Convert to fraction form
    648.86/973.68 = 258.78/x
  3. Step 3: Cross multiply
    648.86x = 973.68 × 258.78
  4. Step 4: Simplify right side
    648.86x = 251,968.91
  5. Step 5: Solve for x
    x = 251,968.91/648.86
  6. Step 6: Final answer
    x = 388.33

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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.