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Finding the Fourth Proportional to 554.97, 765.68 and 322.05

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Solution

The fourth proportional to 554.97, 765.68 and 322.05 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.97 : 765.68 = 322.05 : x
  2. Step 2: Convert to fraction form
    554.97/765.68 = 322.05/x
  3. Step 3: Cross multiply
    554.97x = 765.68 × 322.05
  4. Step 4: Simplify right side
    554.97x = 246,584.22
  5. Step 5: Solve for x
    x = 246,584.22/554.97
  6. Step 6: Final answer
    x = 444.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.