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Finding the Fourth Proportional to 554.19, 829.45 and 389.85

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Solution

The fourth proportional to 554.19, 829.45 and 389.85 is: 583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.19 : 829.45 = 389.85 : x
  2. Step 2: Convert to fraction form
    554.19/829.45 = 389.85/x
  3. Step 3: Cross multiply
    554.19x = 829.45 × 389.85
  4. Step 4: Simplify right side
    554.19x = 323,361.08
  5. Step 5: Solve for x
    x = 323,361.08/554.19
  6. Step 6: Final answer
    x = 583.48

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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.