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Finding the Fourth Proportional to 741.61, 1,022.79 and 643.33

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Solution

The fourth proportional to 741.61, 1,022.79 and 643.33 is: 887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.61 : 1,022.79 = 643.33 : x
  2. Step 2: Convert to fraction form
    741.61/1,022.79 = 643.33/x
  3. Step 3: Cross multiply
    741.61x = 1,022.79 × 643.33
  4. Step 4: Simplify right side
    741.61x = 657,991.49
  5. Step 5: Solve for x
    x = 657,991.49/741.61
  6. Step 6: Final answer
    x = 887.25

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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.