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Finding the Fourth Proportional to 554.24, 832.11 and 345.45

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Solution

The fourth proportional to 554.24, 832.11 and 345.45 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 832.11 = 345.45 : x
  2. Step 2: Convert to fraction form
    554.24/832.11 = 345.45/x
  3. Step 3: Cross multiply
    554.24x = 832.11 × 345.45
  4. Step 4: Simplify right side
    554.24x = 287,452.40
  5. Step 5: Solve for x
    x = 287,452.40/554.24
  6. Step 6: Final answer
    x = 518.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.