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Finding the Fourth Proportional to 554.06, 830.82 and 323.00

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Solution

The fourth proportional to 554.06, 830.82 and 323.00 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.06 : 830.82 = 323.00 : x
  2. Step 2: Convert to fraction form
    554.06/830.82 = 323.00/x
  3. Step 3: Cross multiply
    554.06x = 830.82 × 323.00
  4. Step 4: Simplify right side
    554.06x = 268,350.71
  5. Step 5: Solve for x
    x = 268,350.71/554.06
  6. Step 6: Final answer
    x = 484.34

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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.