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Finding the Fourth Proportional to 1,585.09, 2,375.32 and 891.95

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Solution

The fourth proportional to 1,585.09, 2,375.32 and 891.95 is: 1,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.09 : 2,375.32 = 891.95 : x
  2. Step 2: Convert to fraction form
    1,585.09/2,375.32 = 891.95/x
  3. Step 3: Cross multiply
    1,585.09x = 2,375.32 × 891.95
  4. Step 4: Simplify right side
    1,585.09x = 2,118,670.38
  5. Step 5: Solve for x
    x = 2,118,670.38/1,585.09
  6. Step 6: Final answer
    x = 1,336.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.