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Finding the Fourth Proportional to 776.35, 1,071.38 and 427.03

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Solution

The fourth proportional to 776.35, 1,071.38 and 427.03 is: 589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.35 : 1,071.38 = 427.03 : x
  2. Step 2: Convert to fraction form
    776.35/1,071.38 = 427.03/x
  3. Step 3: Cross multiply
    776.35x = 1,071.38 × 427.03
  4. Step 4: Simplify right side
    776.35x = 457,511.40
  5. Step 5: Solve for x
    x = 457,511.40/776.35
  6. Step 6: Final answer
    x = 589.31

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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.