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Finding the Fourth Proportional to 1,590.33, 2,383.37 and 1,003.49

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Solution

The fourth proportional to 1,590.33, 2,383.37 and 1,003.49 is: 1,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.33 : 2,383.37 = 1,003.49 : x
  2. Step 2: Convert to fraction form
    1,590.33/2,383.37 = 1,003.49/x
  3. Step 3: Cross multiply
    1,590.33x = 2,383.37 × 1,003.49
  4. Step 4: Simplify right side
    1,590.33x = 2,391,671.03
  5. Step 5: Solve for x
    x = 2,391,671.03/1,590.33
  6. Step 6: Final answer
    x = 1,503.88

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