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Finding the Fourth Proportional to 633.18, 948.80 and 459.42

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Solution

The fourth proportional to 633.18, 948.80 and 459.42 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.18 : 948.80 = 459.42 : x
  2. Step 2: Convert to fraction form
    633.18/948.80 = 459.42/x
  3. Step 3: Cross multiply
    633.18x = 948.80 × 459.42
  4. Step 4: Simplify right side
    633.18x = 435,897.70
  5. Step 5: Solve for x
    x = 435,897.70/633.18
  6. Step 6: Final answer
    x = 688.43

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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.