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Finding the Fourth Proportional to 511.10, 704.46 and 406.01

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Solution

The fourth proportional to 511.10, 704.46 and 406.01 is: 559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 704.46 = 406.01 : x
  2. Step 2: Convert to fraction form
    511.10/704.46 = 406.01/x
  3. Step 3: Cross multiply
    511.10x = 704.46 × 406.01
  4. Step 4: Simplify right side
    511.10x = 286,017.80
  5. Step 5: Solve for x
    x = 286,017.80/511.10
  6. Step 6: Final answer
    x = 559.61

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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.