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Finding the Fourth Proportional to 968.42, 1,452.20 and 448.40

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Solution

The fourth proportional to 968.42, 1,452.20 and 448.40 is: 672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.42 : 1,452.20 = 448.40 : x
  2. Step 2: Convert to fraction form
    968.42/1,452.20 = 448.40/x
  3. Step 3: Cross multiply
    968.42x = 1,452.20 × 448.40
  4. Step 4: Simplify right side
    968.42x = 651,167.87
  5. Step 5: Solve for x
    x = 651,167.87/968.42
  6. Step 6: Final answer
    x = 672.40

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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.