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Finding the Fourth Proportional to 676.06, 933.53 and 455.74

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Solution

The fourth proportional to 676.06, 933.53 and 455.74 is: 629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.06 : 933.53 = 455.74 : x
  2. Step 2: Convert to fraction form
    676.06/933.53 = 455.74/x
  3. Step 3: Cross multiply
    676.06x = 933.53 × 455.74
  4. Step 4: Simplify right side
    676.06x = 425,440.02
  5. Step 5: Solve for x
    x = 425,440.02/676.06
  6. Step 6: Final answer
    x = 629.30

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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.