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Finding the Fourth Proportional to 554.73, 828.95 and 415.01

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Solution

The fourth proportional to 554.73, 828.95 and 415.01 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.73 : 828.95 = 415.01 : x
  2. Step 2: Convert to fraction form
    554.73/828.95 = 415.01/x
  3. Step 3: Cross multiply
    554.73x = 828.95 × 415.01
  4. Step 4: Simplify right side
    554.73x = 344,016.32
  5. Step 5: Solve for x
    x = 344,016.32/554.73
  6. Step 6: Final answer
    x = 620.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.