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Finding the Fourth Proportional to 777.55, 1,166.08 and 257.44

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Solution

The fourth proportional to 777.55, 1,166.08 and 257.44 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.55 : 1,166.08 = 257.44 : x
  2. Step 2: Convert to fraction form
    777.55/1,166.08 = 257.44/x
  3. Step 3: Cross multiply
    777.55x = 1,166.08 × 257.44
  4. Step 4: Simplify right side
    777.55x = 300,195.64
  5. Step 5: Solve for x
    x = 300,195.64/777.55
  6. Step 6: Final answer
    x = 386.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.