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Finding the Fourth Proportional to 554.24, 765.17 and 367.98

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Solution

The fourth proportional to 554.24, 765.17 and 367.98 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 765.17 = 367.98 : x
  2. Step 2: Convert to fraction form
    554.24/765.17 = 367.98/x
  3. Step 3: Cross multiply
    554.24x = 765.17 × 367.98
  4. Step 4: Simplify right side
    554.24x = 281,567.26
  5. Step 5: Solve for x
    x = 281,567.26/554.24
  6. Step 6: Final answer
    x = 508.02

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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.