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Finding the Fourth Proportional to 458.60, 687.74 and 214.88

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Solution

The fourth proportional to 458.60, 687.74 and 214.88 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 687.74 = 214.88 : x
  2. Step 2: Convert to fraction form
    458.60/687.74 = 214.88/x
  3. Step 3: Cross multiply
    458.60x = 687.74 × 214.88
  4. Step 4: Simplify right side
    458.60x = 147,781.57
  5. Step 5: Solve for x
    x = 147,781.57/458.60
  6. Step 6: Final answer
    x = 322.25

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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.