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Finding the Fourth Proportional to 1,653.49, 2,477.94 and 727.66

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Solution

The fourth proportional to 1,653.49, 2,477.94 and 727.66 is: 1,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.49 : 2,477.94 = 727.66 : x
  2. Step 2: Convert to fraction form
    1,653.49/2,477.94 = 727.66/x
  3. Step 3: Cross multiply
    1,653.49x = 2,477.94 × 727.66
  4. Step 4: Simplify right side
    1,653.49x = 1,803,097.82
  5. Step 5: Solve for x
    x = 1,803,097.82/1,653.49
  6. Step 6: Final answer
    x = 1,090.48

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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.