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Finding the Fourth Proportional to 554.53, 765.51 and 421.80

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Solution

The fourth proportional to 554.53, 765.51 and 421.80 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.53 : 765.51 = 421.80 : x
  2. Step 2: Convert to fraction form
    554.53/765.51 = 421.80/x
  3. Step 3: Cross multiply
    554.53x = 765.51 × 421.80
  4. Step 4: Simplify right side
    554.53x = 322,892.12
  5. Step 5: Solve for x
    x = 322,892.12/554.53
  6. Step 6: Final answer
    x = 582.28

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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.