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Finding the Fourth Proportional to 573.06, 857.74 and 298.77

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Solution

The fourth proportional to 573.06, 857.74 and 298.77 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 857.74 = 298.77 : x
  2. Step 2: Convert to fraction form
    573.06/857.74 = 298.77/x
  3. Step 3: Cross multiply
    573.06x = 857.74 × 298.77
  4. Step 4: Simplify right side
    573.06x = 256,266.98
  5. Step 5: Solve for x
    x = 256,266.98/573.06
  6. Step 6: Final answer
    x = 447.19

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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.