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Finding the Fourth Proportional to 777.45, 1,171.11 and 711.03

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Solution

The fourth proportional to 777.45, 1,171.11 and 711.03 is: 1,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.45 : 1,171.11 = 711.03 : x
  2. Step 2: Convert to fraction form
    777.45/1,171.11 = 711.03/x
  3. Step 3: Cross multiply
    777.45x = 1,171.11 × 711.03
  4. Step 4: Simplify right side
    777.45x = 832,694.34
  5. Step 5: Solve for x
    x = 832,694.34/777.45
  6. Step 6: Final answer
    x = 1,071.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.