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Finding the Fourth Proportional to 554.65, 832.09 and 189.67

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Solution

The fourth proportional to 554.65, 832.09 and 189.67 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.65 : 832.09 = 189.67 : x
  2. Step 2: Convert to fraction form
    554.65/832.09 = 189.67/x
  3. Step 3: Cross multiply
    554.65x = 832.09 × 189.67
  4. Step 4: Simplify right side
    554.65x = 157,822.51
  5. Step 5: Solve for x
    x = 157,822.51/554.65
  6. Step 6: Final answer
    x = 284.54

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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.