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Finding the Fourth Proportional to 1,203.78, 1,662.59 and 810.12

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Solution

The fourth proportional to 1,203.78, 1,662.59 and 810.12 is: 1,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.78 : 1,662.59 = 810.12 : x
  2. Step 2: Convert to fraction form
    1,203.78/1,662.59 = 810.12/x
  3. Step 3: Cross multiply
    1,203.78x = 1,662.59 × 810.12
  4. Step 4: Simplify right side
    1,203.78x = 1,346,895.39
  5. Step 5: Solve for x
    x = 1,346,895.39/1,203.78
  6. Step 6: Final answer
    x = 1,118.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.