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Finding the Fourth Proportional to 486.84, 729.11 and 340.73

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Solution

The fourth proportional to 486.84, 729.11 and 340.73 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 729.11 = 340.73 : x
  2. Step 2: Convert to fraction form
    486.84/729.11 = 340.73/x
  3. Step 3: Cross multiply
    486.84x = 729.11 × 340.73
  4. Step 4: Simplify right side
    486.84x = 248,424.30
  5. Step 5: Solve for x
    x = 248,424.30/486.84
  6. Step 6: Final answer
    x = 510.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.