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Finding the Fourth Proportional to 462.73, 690.19 and 393.47

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Solution

The fourth proportional to 462.73, 690.19 and 393.47 is: 586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.73 : 690.19 = 393.47 : x
  2. Step 2: Convert to fraction form
    462.73/690.19 = 393.47/x
  3. Step 3: Cross multiply
    462.73x = 690.19 × 393.47
  4. Step 4: Simplify right side
    462.73x = 271,567.09
  5. Step 5: Solve for x
    x = 271,567.09/462.73
  6. Step 6: Final answer
    x = 586.89

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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.