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Finding the Fourth Proportional to 886.21, 1,329.33 and 453.10

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Solution

The fourth proportional to 886.21, 1,329.33 and 453.10 is: 679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.21 : 1,329.33 = 453.10 : x
  2. Step 2: Convert to fraction form
    886.21/1,329.33 = 453.10/x
  3. Step 3: Cross multiply
    886.21x = 1,329.33 × 453.10
  4. Step 4: Simplify right side
    886.21x = 602,319.42
  5. Step 5: Solve for x
    x = 602,319.42/886.21
  6. Step 6: Final answer
    x = 679.66

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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.