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Finding the Fourth Proportional to 421.24, 632.58 and 414.76

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Solution

The fourth proportional to 421.24, 632.58 and 414.76 is: 622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 632.58 = 414.76 : x
  2. Step 2: Convert to fraction form
    421.24/632.58 = 414.76/x
  3. Step 3: Cross multiply
    421.24x = 632.58 × 414.76
  4. Step 4: Simplify right side
    421.24x = 262,368.88
  5. Step 5: Solve for x
    x = 262,368.88/421.24
  6. Step 6: Final answer
    x = 622.85

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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.