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Finding the Fourth Proportional to 557.78, 769.63 and 318.48

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Solution

The fourth proportional to 557.78, 769.63 and 318.48 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 769.63 = 318.48 : x
  2. Step 2: Convert to fraction form
    557.78/769.63 = 318.48/x
  3. Step 3: Cross multiply
    557.78x = 769.63 × 318.48
  4. Step 4: Simplify right side
    557.78x = 245,111.76
  5. Step 5: Solve for x
    x = 245,111.76/557.78
  6. Step 6: Final answer
    x = 439.44

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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.