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Finding the Fourth Proportional to 623.93, 936.05 and 258.75

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Solution

The fourth proportional to 623.93, 936.05 and 258.75 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.93 : 936.05 = 258.75 : x
  2. Step 2: Convert to fraction form
    623.93/936.05 = 258.75/x
  3. Step 3: Cross multiply
    623.93x = 936.05 × 258.75
  4. Step 4: Simplify right side
    623.93x = 242,201.64
  5. Step 5: Solve for x
    x = 242,201.64/623.93
  6. Step 6: Final answer
    x = 388.19

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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.