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Finding the Fourth Proportional to 777.08, 1,165.70 and 257.42

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Solution

The fourth proportional to 777.08, 1,165.70 and 257.42 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.08 : 1,165.70 = 257.42 : x
  2. Step 2: Convert to fraction form
    777.08/1,165.70 = 257.42/x
  3. Step 3: Cross multiply
    777.08x = 1,165.70 × 257.42
  4. Step 4: Simplify right side
    777.08x = 300,078.05
  5. Step 5: Solve for x
    x = 300,078.05/777.08
  6. Step 6: Final answer
    x = 386.16

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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.