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Finding the Fourth Proportional to 676.25, 933.23 and 414.44

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Solution

The fourth proportional to 676.25, 933.23 and 414.44 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.25 : 933.23 = 414.44 : x
  2. Step 2: Convert to fraction form
    676.25/933.23 = 414.44/x
  3. Step 3: Cross multiply
    676.25x = 933.23 × 414.44
  4. Step 4: Simplify right side
    676.25x = 386,767.84
  5. Step 5: Solve for x
    x = 386,767.84/676.25
  6. Step 6: Final answer
    x = 571.93

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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.