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Finding the Fourth Proportional to 511.15, 704.40 and 345.07

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Solution

The fourth proportional to 511.15, 704.40 and 345.07 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 704.40 = 345.07 : x
  2. Step 2: Convert to fraction form
    511.15/704.40 = 345.07/x
  3. Step 3: Cross multiply
    511.15x = 704.40 × 345.07
  4. Step 4: Simplify right side
    511.15x = 243,067.31
  5. Step 5: Solve for x
    x = 243,067.31/511.15
  6. Step 6: Final answer
    x = 475.53

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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.