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Finding the Fourth Proportional to 423.08, 635.06 and 374.63

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Solution

The fourth proportional to 423.08, 635.06 and 374.63 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 635.06 = 374.63 : x
  2. Step 2: Convert to fraction form
    423.08/635.06 = 374.63/x
  3. Step 3: Cross multiply
    423.08x = 635.06 × 374.63
  4. Step 4: Simplify right side
    423.08x = 237,909.35
  5. Step 5: Solve for x
    x = 237,909.35/423.08
  6. Step 6: Final answer
    x = 562.33

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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.