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Finding the Fourth Proportional to 1,203.09, 1,803.31 and 786.10

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Solution

The fourth proportional to 1,203.09, 1,803.31 and 786.10 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.09 : 1,803.31 = 786.10 : x
  2. Step 2: Convert to fraction form
    1,203.09/1,803.31 = 786.10/x
  3. Step 3: Cross multiply
    1,203.09x = 1,803.31 × 786.10
  4. Step 4: Simplify right side
    1,203.09x = 1,417,581.99
  5. Step 5: Solve for x
    x = 1,417,581.99/1,203.09
  6. Step 6: Final answer
    x = 1,178.28

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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.