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Finding the Fourth Proportional to 573.12, 853.44 and 559.36

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Solution

The fourth proportional to 573.12, 853.44 and 559.36 is: 832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 853.44 = 559.36 : x
  2. Step 2: Convert to fraction form
    573.12/853.44 = 559.36/x
  3. Step 3: Cross multiply
    573.12x = 853.44 × 559.36
  4. Step 4: Simplify right side
    573.12x = 477,380.20
  5. Step 5: Solve for x
    x = 477,380.20/573.12
  6. Step 6: Final answer
    x = 832.95

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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.