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Finding the Fourth Proportional to 511.98, 706.50 and 337.56

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Solution

The fourth proportional to 511.98, 706.50 and 337.56 is: 465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 706.50 = 337.56 : x
  2. Step 2: Convert to fraction form
    511.98/706.50 = 337.56/x
  3. Step 3: Cross multiply
    511.98x = 706.50 × 337.56
  4. Step 4: Simplify right side
    511.98x = 238,486.14
  5. Step 5: Solve for x
    x = 238,486.14/511.98
  6. Step 6: Final answer
    x = 465.81

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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.