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Finding the Fourth Proportional to 511.32, 704.85 and 314.49

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Solution

The fourth proportional to 511.32, 704.85 and 314.49 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 704.85 = 314.49 : x
  2. Step 2: Convert to fraction form
    511.32/704.85 = 314.49/x
  3. Step 3: Cross multiply
    511.32x = 704.85 × 314.49
  4. Step 4: Simplify right side
    511.32x = 221,668.28
  5. Step 5: Solve for x
    x = 221,668.28/511.32
  6. Step 6: Final answer
    x = 433.52

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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.