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Finding the Fourth Proportional to 458.42, 632.50 and 451.49

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Solution

The fourth proportional to 458.42, 632.50 and 451.49 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 632.50 = 451.49 : x
  2. Step 2: Convert to fraction form
    458.42/632.50 = 451.49/x
  3. Step 3: Cross multiply
    458.42x = 632.50 × 451.49
  4. Step 4: Simplify right side
    458.42x = 285,566.25
  5. Step 5: Solve for x
    x = 285,566.25/458.42
  6. Step 6: Final answer
    x = 622.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.