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Finding the Fourth Proportional to 554.24, 830.18 and 380.09

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Solution

The fourth proportional to 554.24, 830.18 and 380.09 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 830.18 = 380.09 : x
  2. Step 2: Convert to fraction form
    554.24/830.18 = 380.09/x
  3. Step 3: Cross multiply
    554.24x = 830.18 × 380.09
  4. Step 4: Simplify right side
    554.24x = 315,537.06
  5. Step 5: Solve for x
    x = 315,537.06/554.24
  6. Step 6: Final answer
    x = 569.32

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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.