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Finding the Fourth Proportional to 1,208.64, 1,810.32 and 773.52

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Solution

The fourth proportional to 1,208.64, 1,810.32 and 773.52 is: 1,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.64 : 1,810.32 = 773.52 : x
  2. Step 2: Convert to fraction form
    1,208.64/1,810.32 = 773.52/x
  3. Step 3: Cross multiply
    1,208.64x = 1,810.32 × 773.52
  4. Step 4: Simplify right side
    1,208.64x = 1,400,318.73
  5. Step 5: Solve for x
    x = 1,400,318.73/1,208.64
  6. Step 6: Final answer
    x = 1,158.59

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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.