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Finding the Fourth Proportional to 486.94, 671.71 and 309.58

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Solution

The fourth proportional to 486.94, 671.71 and 309.58 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.94 : 671.71 = 309.58 : x
  2. Step 2: Convert to fraction form
    486.94/671.71 = 309.58/x
  3. Step 3: Cross multiply
    486.94x = 671.71 × 309.58
  4. Step 4: Simplify right side
    486.94x = 207,947.98
  5. Step 5: Solve for x
    x = 207,947.98/486.94
  6. Step 6: Final answer
    x = 427.05

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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.