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Finding the Fourth Proportional to 462.66, 690.09 and 393.41

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Solution

The fourth proportional to 462.66, 690.09 and 393.41 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 690.09 = 393.41 : x
  2. Step 2: Convert to fraction form
    462.66/690.09 = 393.41/x
  3. Step 3: Cross multiply
    462.66x = 690.09 × 393.41
  4. Step 4: Simplify right side
    462.66x = 271,488.31
  5. Step 5: Solve for x
    x = 271,488.31/462.66
  6. Step 6: Final answer
    x = 586.80

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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.