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Finding the Fourth Proportional to 458, 687.31 and 169.45

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Solution

The fourth proportional to 458, 687.31 and 169.45 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 687.31 = 169.45 : x
  2. Step 2: Convert to fraction form
    458/687.31 = 169.45/x
  3. Step 3: Cross multiply
    458x = 687.31 × 169.45
  4. Step 4: Simplify right side
    458x = 116,461.24
  5. Step 5: Solve for x
    x = 116,461.24/458
  6. Step 6: Final answer
    x = 254.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.