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Finding the Fourth Proportional to 741.45, 1,015.77 and 713.76

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Solution

The fourth proportional to 741.45, 1,015.77 and 713.76 is: 977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.45 : 1,015.77 = 713.76 : x
  2. Step 2: Convert to fraction form
    741.45/1,015.77 = 713.76/x
  3. Step 3: Cross multiply
    741.45x = 1,015.77 × 713.76
  4. Step 4: Simplify right side
    741.45x = 725,016.00
  5. Step 5: Solve for x
    x = 725,016.00/741.45
  6. Step 6: Final answer
    x = 977.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.