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Finding the Fourth Proportional to 776.81, 1,072.01 and 427.51

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Solution

The fourth proportional to 776.81, 1,072.01 and 427.51 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.81 : 1,072.01 = 427.51 : x
  2. Step 2: Convert to fraction form
    776.81/1,072.01 = 427.51/x
  3. Step 3: Cross multiply
    776.81x = 1,072.01 × 427.51
  4. Step 4: Simplify right side
    776.81x = 458,292.86
  5. Step 5: Solve for x
    x = 458,292.86/776.81
  6. Step 6: Final answer
    x = 589.97

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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.