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Finding the Fourth Proportional to 462.78, 688.30 and 453.06

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Solution

The fourth proportional to 462.78, 688.30 and 453.06 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 688.30 = 453.06 : x
  2. Step 2: Convert to fraction form
    462.78/688.30 = 453.06/x
  3. Step 3: Cross multiply
    462.78x = 688.30 × 453.06
  4. Step 4: Simplify right side
    462.78x = 311,840.07
  5. Step 5: Solve for x
    x = 311,840.07/462.78
  6. Step 6: Final answer
    x = 673.84

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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.