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Finding the Fourth Proportional to 420.82, 632.25 and 374.74

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Solution

The fourth proportional to 420.82, 632.25 and 374.74 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.82 : 632.25 = 374.74 : x
  2. Step 2: Convert to fraction form
    420.82/632.25 = 374.74/x
  3. Step 3: Cross multiply
    420.82x = 632.25 × 374.74
  4. Step 4: Simplify right side
    420.82x = 236,929.37
  5. Step 5: Solve for x
    x = 236,929.37/420.82
  6. Step 6: Final answer
    x = 563.02

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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.