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Finding the Fourth Proportional to 1,296.77, 1,945.89 and 474.93

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Solution

The fourth proportional to 1,296.77, 1,945.89 and 474.93 is: 712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.77 : 1,945.89 = 474.93 : x
  2. Step 2: Convert to fraction form
    1,296.77/1,945.89 = 474.93/x
  3. Step 3: Cross multiply
    1,296.77x = 1,945.89 × 474.93
  4. Step 4: Simplify right side
    1,296.77x = 924,161.54
  5. Step 5: Solve for x
    x = 924,161.54/1,296.77
  6. Step 6: Final answer
    x = 712.67

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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.