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Finding the Fourth Proportional to 1,202.07, 1,654.04 and 922.19

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Solution

The fourth proportional to 1,202.07, 1,654.04 and 922.19 is: 1,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.07 : 1,654.04 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,202.07/1,654.04 = 922.19/x
  3. Step 3: Cross multiply
    1,202.07x = 1,654.04 × 922.19
  4. Step 4: Simplify right side
    1,202.07x = 1,525,345.59
  5. Step 5: Solve for x
    x = 1,525,345.59/1,202.07
  6. Step 6: Final answer
    x = 1,268.93

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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.