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Finding the Fourth Proportional to 1,602.81, 2,208.44 and 1,077.93

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Solution

The fourth proportional to 1,602.81, 2,208.44 and 1,077.93 is: 1,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.81 : 2,208.44 = 1,077.93 : x
  2. Step 2: Convert to fraction form
    1,602.81/2,208.44 = 1,077.93/x
  3. Step 3: Cross multiply
    1,602.81x = 2,208.44 × 1,077.93
  4. Step 4: Simplify right side
    1,602.81x = 2,380,543.73
  5. Step 5: Solve for x
    x = 2,380,543.73/1,602.81
  6. Step 6: Final answer
    x = 1,485.23

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Why These Related Problems?

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