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Finding the Fourth Proportional to 1,296.74, 1,945.39 and 474.99

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Solution

The fourth proportional to 1,296.74, 1,945.39 and 474.99 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.74 : 1,945.39 = 474.99 : x
  2. Step 2: Convert to fraction form
    1,296.74/1,945.39 = 474.99/x
  3. Step 3: Cross multiply
    1,296.74x = 1,945.39 × 474.99
  4. Step 4: Simplify right side
    1,296.74x = 924,040.80
  5. Step 5: Solve for x
    x = 924,040.80/1,296.74
  6. Step 6: Final answer
    x = 712.59

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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.