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Finding the Fourth Proportional to 1,303.09, 1,798.20 and 713.61

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Solution

The fourth proportional to 1,303.09, 1,798.20 and 713.61 is: 984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.09 : 1,798.20 = 713.61 : x
  2. Step 2: Convert to fraction form
    1,303.09/1,798.20 = 713.61/x
  3. Step 3: Cross multiply
    1,303.09x = 1,798.20 × 713.61
  4. Step 4: Simplify right side
    1,303.09x = 1,283,213.50
  5. Step 5: Solve for x
    x = 1,283,213.50/1,303.09
  6. Step 6: Final answer
    x = 984.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.