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Finding the Fourth Proportional to 554.30, 829.92 and 380.78

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Solution

The fourth proportional to 554.30, 829.92 and 380.78 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.30 : 829.92 = 380.78 : x
  2. Step 2: Convert to fraction form
    554.30/829.92 = 380.78/x
  3. Step 3: Cross multiply
    554.30x = 829.92 × 380.78
  4. Step 4: Simplify right side
    554.30x = 316,016.94
  5. Step 5: Solve for x
    x = 316,016.94/554.30
  6. Step 6: Final answer
    x = 570.12

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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.