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Finding the Fourth Proportional to 1,203.12, 1,804.68 and 773.01

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Solution

The fourth proportional to 1,203.12, 1,804.68 and 773.01 is: 1,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.12 : 1,804.68 = 773.01 : x
  2. Step 2: Convert to fraction form
    1,203.12/1,804.68 = 773.01/x
  3. Step 3: Cross multiply
    1,203.12x = 1,804.68 × 773.01
  4. Step 4: Simplify right side
    1,203.12x = 1,395,035.69
  5. Step 5: Solve for x
    x = 1,395,035.69/1,203.12
  6. Step 6: Final answer
    x = 1,159.52

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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.