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Finding the Fourth Proportional to 458.41, 684.97 and 346.49

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Solution

The fourth proportional to 458.41, 684.97 and 346.49 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.41 : 684.97 = 346.49 : x
  2. Step 2: Convert to fraction form
    458.41/684.97 = 346.49/x
  3. Step 3: Cross multiply
    458.41x = 684.97 × 346.49
  4. Step 4: Simplify right side
    458.41x = 237,335.26
  5. Step 5: Solve for x
    x = 237,335.26/458.41
  6. Step 6: Final answer
    x = 517.74

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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.