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Finding the Fourth Proportional to 676.57, 932.36 and 452.26

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Solution

The fourth proportional to 676.57, 932.36 and 452.26 is: 623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.57 : 932.36 = 452.26 : x
  2. Step 2: Convert to fraction form
    676.57/932.36 = 452.26/x
  3. Step 3: Cross multiply
    676.57x = 932.36 × 452.26
  4. Step 4: Simplify right side
    676.57x = 421,663.34
  5. Step 5: Solve for x
    x = 421,663.34/676.57
  6. Step 6: Final answer
    x = 623.23

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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.