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Finding the Fourth Proportional to 554.83, 765.43 and 421.81

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Solution

The fourth proportional to 554.83, 765.43 and 421.81 is: 581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.83 : 765.43 = 421.81 : x
  2. Step 2: Convert to fraction form
    554.83/765.43 = 421.81/x
  3. Step 3: Cross multiply
    554.83x = 765.43 × 421.81
  4. Step 4: Simplify right side
    554.83x = 322,866.03
  5. Step 5: Solve for x
    x = 322,866.03/554.83
  6. Step 6: Final answer
    x = 581.92

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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.