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Finding the Fourth Proportional to 597.78, 896.49 and 186.89

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Solution

The fourth proportional to 597.78, 896.49 and 186.89 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 896.49 = 186.89 : x
  2. Step 2: Convert to fraction form
    597.78/896.49 = 186.89/x
  3. Step 3: Cross multiply
    597.78x = 896.49 × 186.89
  4. Step 4: Simplify right side
    597.78x = 167,540.53
  5. Step 5: Solve for x
    x = 167,540.53/597.78
  6. Step 6: Final answer
    x = 280.27

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1.5x scale

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.