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Finding the Fourth Proportional to 420.41, 628.73 and 374.46

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Solution

The fourth proportional to 420.41, 628.73 and 374.46 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.41 : 628.73 = 374.46 : x
  2. Step 2: Convert to fraction form
    420.41/628.73 = 374.46/x
  3. Step 3: Cross multiply
    420.41x = 628.73 × 374.46
  4. Step 4: Simplify right side
    420.41x = 235,432.36
  5. Step 5: Solve for x
    x = 235,432.36/420.41
  6. Step 6: Final answer
    x = 560.01

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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.