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Finding the Fourth Proportional to 420.98, 628.14 and 371.74

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Solution

The fourth proportional to 420.98, 628.14 and 371.74 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.98 : 628.14 = 371.74 : x
  2. Step 2: Convert to fraction form
    420.98/628.14 = 371.74/x
  3. Step 3: Cross multiply
    420.98x = 628.14 × 371.74
  4. Step 4: Simplify right side
    420.98x = 233,504.76
  5. Step 5: Solve for x
    x = 233,504.76/420.98
  6. Step 6: Final answer
    x = 554.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.