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Finding the Fourth Proportional to 511.12, 704.51 and 353.98

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Solution

The fourth proportional to 511.12, 704.51 and 353.98 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 704.51 = 353.98 : x
  2. Step 2: Convert to fraction form
    511.12/704.51 = 353.98/x
  3. Step 3: Cross multiply
    511.12x = 704.51 × 353.98
  4. Step 4: Simplify right side
    511.12x = 249,378.93
  5. Step 5: Solve for x
    x = 249,378.93/511.12
  6. Step 6: Final answer
    x = 487.91

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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.