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Finding the Fourth Proportional to 676.24, 933.16 and 455.12

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Solution

The fourth proportional to 676.24, 933.16 and 455.12 is: 628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.24 : 933.16 = 455.12 : x
  2. Step 2: Convert to fraction form
    676.24/933.16 = 455.12/x
  3. Step 3: Cross multiply
    676.24x = 933.16 × 455.12
  4. Step 4: Simplify right side
    676.24x = 424,699.78
  5. Step 5: Solve for x
    x = 424,699.78/676.24
  6. Step 6: Final answer
    x = 628.03

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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.