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Finding the Fourth Proportional to 1,296.71, 1,945.19 and 474.79

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Solution

The fourth proportional to 1,296.71, 1,945.19 and 474.79 is: 712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.71 : 1,945.19 = 474.79 : x
  2. Step 2: Convert to fraction form
    1,296.71/1,945.19 = 474.79/x
  3. Step 3: Cross multiply
    1,296.71x = 1,945.19 × 474.79
  4. Step 4: Simplify right side
    1,296.71x = 923,549.93
  5. Step 5: Solve for x
    x = 923,549.93/1,296.71
  6. Step 6: Final answer
    x = 712.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.