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Finding the Fourth Proportional to 1,585.58, 2,188.10 and 922.82

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Solution

The fourth proportional to 1,585.58, 2,188.10 and 922.82 is: 1,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.58 : 2,188.10 = 922.82 : x
  2. Step 2: Convert to fraction form
    1,585.58/2,188.10 = 922.82/x
  3. Step 3: Cross multiply
    1,585.58x = 2,188.10 × 922.82
  4. Step 4: Simplify right side
    1,585.58x = 2,019,222.44
  5. Step 5: Solve for x
    x = 2,019,222.44/1,585.58
  6. Step 6: Final answer
    x = 1,273.49

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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.