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Finding the Fourth Proportional to 1,420.83, 1,958.67 and 923.28

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Solution

The fourth proportional to 1,420.83, 1,958.67 and 923.28 is: 1,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.83 : 1,958.67 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,420.83/1,958.67 = 923.28/x
  3. Step 3: Cross multiply
    1,420.83x = 1,958.67 × 923.28
  4. Step 4: Simplify right side
    1,420.83x = 1,808,400.84
  5. Step 5: Solve for x
    x = 1,808,400.84/1,420.83
  6. Step 6: Final answer
    x = 1,272.78

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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.