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Finding the Fourth Proportional to 777.81, 1,072.91 and 556.38

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Solution

The fourth proportional to 777.81, 1,072.91 and 556.38 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.81 : 1,072.91 = 556.38 : x
  2. Step 2: Convert to fraction form
    777.81/1,072.91 = 556.38/x
  3. Step 3: Cross multiply
    777.81x = 1,072.91 × 556.38
  4. Step 4: Simplify right side
    777.81x = 596,942.88
  5. Step 5: Solve for x
    x = 596,942.88/777.81
  6. Step 6: Final answer
    x = 767.47

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1.5x scale

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.