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Finding the Fourth Proportional to 462.74, 697.01 and 421.84

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Solution

The fourth proportional to 462.74, 697.01 and 421.84 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 697.01 = 421.84 : x
  2. Step 2: Convert to fraction form
    462.74/697.01 = 421.84/x
  3. Step 3: Cross multiply
    462.74x = 697.01 × 421.84
  4. Step 4: Simplify right side
    462.74x = 294,029.02
  5. Step 5: Solve for x
    x = 294,029.02/462.74
  6. Step 6: Final answer
    x = 635.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.