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Finding the Fourth Proportional to 491.89, 676.80 and 403.04

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Solution

The fourth proportional to 491.89, 676.80 and 403.04 is: 554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 676.80 = 403.04 : x
  2. Step 2: Convert to fraction form
    491.89/676.80 = 403.04/x
  3. Step 3: Cross multiply
    491.89x = 676.80 × 403.04
  4. Step 4: Simplify right side
    491.89x = 272,777.47
  5. Step 5: Solve for x
    x = 272,777.47/491.89
  6. Step 6: Final answer
    x = 554.55

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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.