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Finding the Fourth Proportional to 1,303.44, 1,956 and 573.12

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Solution

The fourth proportional to 1,303.44, 1,956 and 573.12 is: 860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.44 : 1,956 = 573.12 : x
  2. Step 2: Convert to fraction form
    1,303.44/1,956 = 573.12/x
  3. Step 3: Cross multiply
    1,303.44x = 1,956 × 573.12
  4. Step 4: Simplify right side
    1,303.44x = 1,121,022.72
  5. Step 5: Solve for x
    x = 1,121,022.72/1,303.44
  6. Step 6: Final answer
    x = 860.05

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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.