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Finding the Fourth Proportional to 421.87, 629.58 and 375.74

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Solution

The fourth proportional to 421.87, 629.58 and 375.74 is: 560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.87 : 629.58 = 375.74 : x
  2. Step 2: Convert to fraction form
    421.87/629.58 = 375.74/x
  3. Step 3: Cross multiply
    421.87x = 629.58 × 375.74
  4. Step 4: Simplify right side
    421.87x = 236,558.95
  5. Step 5: Solve for x
    x = 236,558.95/421.87
  6. Step 6: Final answer
    x = 560.74

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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.