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Finding the Fourth Proportional to 1,047.71, 1,446.50 and 716.58

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Solution

The fourth proportional to 1,047.71, 1,446.50 and 716.58 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.71 : 1,446.50 = 716.58 : x
  2. Step 2: Convert to fraction form
    1,047.71/1,446.50 = 716.58/x
  3. Step 3: Cross multiply
    1,047.71x = 1,446.50 × 716.58
  4. Step 4: Simplify right side
    1,047.71x = 1,036,535.83
  5. Step 5: Solve for x
    x = 1,036,535.83/1,047.71
  6. Step 6: Final answer
    x = 989.33

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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.