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Finding the Fourth Proportional to 1,669.23, 2,303.46 and 923.17

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Solution

The fourth proportional to 1,669.23, 2,303.46 and 923.17 is: 1,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.23 : 2,303.46 = 923.17 : x
  2. Step 2: Convert to fraction form
    1,669.23/2,303.46 = 923.17/x
  3. Step 3: Cross multiply
    1,669.23x = 2,303.46 × 923.17
  4. Step 4: Simplify right side
    1,669.23x = 2,126,485.17
  5. Step 5: Solve for x
    x = 2,126,485.17/1,669.23
  6. Step 6: Final answer
    x = 1,273.93

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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.