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Finding the Fourth Proportional to 1,409.42, 1,945.08 and 812.01

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Solution

The fourth proportional to 1,409.42, 1,945.08 and 812.01 is: 1,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.42 : 1,945.08 = 812.01 : x
  2. Step 2: Convert to fraction form
    1,409.42/1,945.08 = 812.01/x
  3. Step 3: Cross multiply
    1,409.42x = 1,945.08 × 812.01
  4. Step 4: Simplify right side
    1,409.42x = 1,579,410.63
  5. Step 5: Solve for x
    x = 1,579,410.63/1,409.42
  6. Step 6: Final answer
    x = 1,120.61

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Why These Related Problems?

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