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Finding the Fourth Proportional to 554.01, 829.62 and 455.88

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Solution

The fourth proportional to 554.01, 829.62 and 455.88 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.01 : 829.62 = 455.88 : x
  2. Step 2: Convert to fraction form
    554.01/829.62 = 455.88/x
  3. Step 3: Cross multiply
    554.01x = 829.62 × 455.88
  4. Step 4: Simplify right side
    554.01x = 378,207.17
  5. Step 5: Solve for x
    x = 378,207.17/554.01
  6. Step 6: Final answer
    x = 682.67

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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.