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Finding the Fourth Proportional to 554.88, 765.84 and 398.16

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Solution

The fourth proportional to 554.88, 765.84 and 398.16 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.88 : 765.84 = 398.16 : x
  2. Step 2: Convert to fraction form
    554.88/765.84 = 398.16/x
  3. Step 3: Cross multiply
    554.88x = 765.84 × 398.16
  4. Step 4: Simplify right side
    554.88x = 304,926.85
  5. Step 5: Solve for x
    x = 304,926.85/554.88
  6. Step 6: Final answer
    x = 549.54

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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.