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Finding the Fourth Proportional to 554.83, 832.45 and 189.66

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Solution

The fourth proportional to 554.83, 832.45 and 189.66 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.83 : 832.45 = 189.66 : x
  2. Step 2: Convert to fraction form
    554.83/832.45 = 189.66/x
  3. Step 3: Cross multiply
    554.83x = 832.45 × 189.66
  4. Step 4: Simplify right side
    554.83x = 157,877.36
  5. Step 5: Solve for x
    x = 157,877.36/554.83
  6. Step 6: Final answer
    x = 284.55

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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.