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Finding the Fourth Proportional to 633, 948.72 and 449.40

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Solution

The fourth proportional to 633, 948.72 and 449.40 is: 673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 948.72 = 449.40 : x
  2. Step 2: Convert to fraction form
    633/948.72 = 449.40/x
  3. Step 3: Cross multiply
    633x = 948.72 × 449.40
  4. Step 4: Simplify right side
    633x = 426,354.77
  5. Step 5: Solve for x
    x = 426,354.77/633
  6. Step 6: Final answer
    x = 673.55

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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.