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Finding the Fourth Proportional to 676.69, 933.93 and 414.86

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Solution

The fourth proportional to 676.69, 933.93 and 414.86 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 933.93 = 414.86 : x
  2. Step 2: Convert to fraction form
    676.69/933.93 = 414.86/x
  3. Step 3: Cross multiply
    676.69x = 933.93 × 414.86
  4. Step 4: Simplify right side
    676.69x = 387,445.53
  5. Step 5: Solve for x
    x = 387,445.53/676.69
  6. Step 6: Final answer
    x = 572.56

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