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Finding the Fourth Proportional to 623.57, 936 and 258.57

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Solution

The fourth proportional to 623.57, 936 and 258.57 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.57 : 936 = 258.57 : x
  2. Step 2: Convert to fraction form
    623.57/936 = 258.57/x
  3. Step 3: Cross multiply
    623.57x = 936 × 258.57
  4. Step 4: Simplify right side
    623.57x = 242,021.52
  5. Step 5: Solve for x
    x = 242,021.52/623.57
  6. Step 6: Final answer
    x = 388.13

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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.