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Finding the Fourth Proportional to 554.70, 765.82 and 493.20

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Solution

The fourth proportional to 554.70, 765.82 and 493.20 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 765.82 = 493.20 : x
  2. Step 2: Convert to fraction form
    554.70/765.82 = 493.20/x
  3. Step 3: Cross multiply
    554.70x = 765.82 × 493.20
  4. Step 4: Simplify right side
    554.70x = 377,702.42
  5. Step 5: Solve for x
    x = 377,702.42/554.70
  6. Step 6: Final answer
    x = 680.91

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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.