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Finding the Fourth Proportional to 676.76, 933.78 and 407.43

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Solution

The fourth proportional to 676.76, 933.78 and 407.43 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 933.78 = 407.43 : x
  2. Step 2: Convert to fraction form
    676.76/933.78 = 407.43/x
  3. Step 3: Cross multiply
    676.76x = 933.78 × 407.43
  4. Step 4: Simplify right side
    676.76x = 380,449.22
  5. Step 5: Solve for x
    x = 380,449.22/676.76
  6. Step 6: Final answer
    x = 562.17

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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.