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Finding the Fourth Proportional to 632.79, 948.83 and 438.03

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Solution

The fourth proportional to 632.79, 948.83 and 438.03 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.79 : 948.83 = 438.03 : x
  2. Step 2: Convert to fraction form
    632.79/948.83 = 438.03/x
  3. Step 3: Cross multiply
    632.79x = 948.83 × 438.03
  4. Step 4: Simplify right side
    632.79x = 415,613.81
  5. Step 5: Solve for x
    x = 415,613.81/632.79
  6. Step 6: Final answer
    x = 656.80

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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.