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Finding the Fourth Proportional to 777.62, 1,165.59 and 257.48

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Solution

The fourth proportional to 777.62, 1,165.59 and 257.48 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.62 : 1,165.59 = 257.48 : x
  2. Step 2: Convert to fraction form
    777.62/1,165.59 = 257.48/x
  3. Step 3: Cross multiply
    777.62x = 1,165.59 × 257.48
  4. Step 4: Simplify right side
    777.62x = 300,110.29
  5. Step 5: Solve for x
    x = 300,110.29/777.62
  6. Step 6: Final answer
    x = 385.94

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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.