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Finding the Fourth Proportional to 453.78, 676.13 and 433.87

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Solution

The fourth proportional to 453.78, 676.13 and 433.87 is: 646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.78 : 676.13 = 433.87 : x
  2. Step 2: Convert to fraction form
    453.78/676.13 = 433.87/x
  3. Step 3: Cross multiply
    453.78x = 676.13 × 433.87
  4. Step 4: Simplify right side
    453.78x = 293,352.52
  5. Step 5: Solve for x
    x = 293,352.52/453.78
  6. Step 6: Final answer
    x = 646.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.