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Finding the Fourth Proportional to 777.18, 1,165.76 and 257.42

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Solution

The fourth proportional to 777.18, 1,165.76 and 257.42 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.18 : 1,165.76 = 257.42 : x
  2. Step 2: Convert to fraction form
    777.18/1,165.76 = 257.42/x
  3. Step 3: Cross multiply
    777.18x = 1,165.76 × 257.42
  4. Step 4: Simplify right side
    777.18x = 300,089.94
  5. Step 5: Solve for x
    x = 300,089.94/777.18
  6. Step 6: Final answer
    x = 386.13

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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.