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Finding the Fourth Proportional to 554.71, 765.43 and 305.98

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Solution

The fourth proportional to 554.71, 765.43 and 305.98 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.71 : 765.43 = 305.98 : x
  2. Step 2: Convert to fraction form
    554.71/765.43 = 305.98/x
  3. Step 3: Cross multiply
    554.71x = 765.43 × 305.98
  4. Step 4: Simplify right side
    554.71x = 234,204.74
  5. Step 5: Solve for x
    x = 234,204.74/554.71
  6. Step 6: Final answer
    x = 422.21

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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.