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Finding the Fourth Proportional to 1,208.02, 1,667.01 and 742.18

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Solution

The fourth proportional to 1,208.02, 1,667.01 and 742.18 is: 1,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.02 : 1,667.01 = 742.18 : x
  2. Step 2: Convert to fraction form
    1,208.02/1,667.01 = 742.18/x
  3. Step 3: Cross multiply
    1,208.02x = 1,667.01 × 742.18
  4. Step 4: Simplify right side
    1,208.02x = 1,237,221.48
  5. Step 5: Solve for x
    x = 1,237,221.48/1,208.02
  6. Step 6: Final answer
    x = 1,024.17

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