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Finding the Fourth Proportional to 1,669.64, 2,303.90 and 923.49

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Solution

The fourth proportional to 1,669.64, 2,303.90 and 923.49 is: 1,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.64 : 2,303.90 = 923.49 : x
  2. Step 2: Convert to fraction form
    1,669.64/2,303.90 = 923.49/x
  3. Step 3: Cross multiply
    1,669.64x = 2,303.90 × 923.49
  4. Step 4: Simplify right side
    1,669.64x = 2,127,629.75
  5. Step 5: Solve for x
    x = 2,127,629.75/1,669.64
  6. Step 6: Final answer
    x = 1,274.31

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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.