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Finding the Fourth Proportional to 1,071.38, 1,599.25 and 993.26

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Solution

The fourth proportional to 1,071.38, 1,599.25 and 993.26 is: 1,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.38 : 1,599.25 = 993.26 : x
  2. Step 2: Convert to fraction form
    1,071.38/1,599.25 = 993.26/x
  3. Step 3: Cross multiply
    1,071.38x = 1,599.25 × 993.26
  4. Step 4: Simplify right side
    1,071.38x = 1,588,471.06
  5. Step 5: Solve for x
    x = 1,588,471.06/1,071.38
  6. Step 6: Final answer
    x = 1,482.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.