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Finding the Fourth Proportional to 676.46, 932.37 and 455.33

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Solution

The fourth proportional to 676.46, 932.37 and 455.33 is: 627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 932.37 = 455.33 : x
  2. Step 2: Convert to fraction form
    676.46/932.37 = 455.33/x
  3. Step 3: Cross multiply
    676.46x = 932.37 × 455.33
  4. Step 4: Simplify right side
    676.46x = 424,536.03
  5. Step 5: Solve for x
    x = 424,536.03/676.46
  6. Step 6: Final answer
    x = 627.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.