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Finding the Fourth Proportional to 462.02, 688.94 and 453.82

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Solution

The fourth proportional to 462.02, 688.94 and 453.82 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.02 : 688.94 = 453.82 : x
  2. Step 2: Convert to fraction form
    462.02/688.94 = 453.82/x
  3. Step 3: Cross multiply
    462.02x = 688.94 × 453.82
  4. Step 4: Simplify right side
    462.02x = 312,654.75
  5. Step 5: Solve for x
    x = 312,654.75/462.02
  6. Step 6: Final answer
    x = 676.71

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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.