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Finding the Fourth Proportional to 511.98, 705.02 and 456.09

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Solution

The fourth proportional to 511.98, 705.02 and 456.09 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 705.02 = 456.09 : x
  2. Step 2: Convert to fraction form
    511.98/705.02 = 456.09/x
  3. Step 3: Cross multiply
    511.98x = 705.02 × 456.09
  4. Step 4: Simplify right side
    511.98x = 321,552.57
  5. Step 5: Solve for x
    x = 321,552.57/511.98
  6. Step 6: Final answer
    x = 628.06

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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.