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Finding the Fourth Proportional to 511.40, 705.48 and 314.96

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Solution

The fourth proportional to 511.40, 705.48 and 314.96 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 705.48 = 314.96 : x
  2. Step 2: Convert to fraction form
    511.40/705.48 = 314.96/x
  3. Step 3: Cross multiply
    511.40x = 705.48 × 314.96
  4. Step 4: Simplify right side
    511.40x = 222,197.98
  5. Step 5: Solve for x
    x = 222,197.98/511.40
  6. Step 6: Final answer
    x = 434.49

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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.