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Finding the Fourth Proportional to 1,342.43, 1,853.41 and 922.64

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Solution

The fourth proportional to 1,342.43, 1,853.41 and 922.64 is: 1,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.43 : 1,853.41 = 922.64 : x
  2. Step 2: Convert to fraction form
    1,342.43/1,853.41 = 922.64/x
  3. Step 3: Cross multiply
    1,342.43x = 1,853.41 × 922.64
  4. Step 4: Simplify right side
    1,342.43x = 1,710,030.20
  5. Step 5: Solve for x
    x = 1,710,030.20/1,342.43
  6. Step 6: Final answer
    x = 1,273.84

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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.