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Finding the Fourth Proportional to 776.74, 1,071.90 and 427.42

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Solution

The fourth proportional to 776.74, 1,071.90 and 427.42 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.74 : 1,071.90 = 427.42 : x
  2. Step 2: Convert to fraction form
    776.74/1,071.90 = 427.42/x
  3. Step 3: Cross multiply
    776.74x = 1,071.90 × 427.42
  4. Step 4: Simplify right side
    776.74x = 458,151.50
  5. Step 5: Solve for x
    x = 458,151.50/776.74
  6. Step 6: Final answer
    x = 589.84

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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.