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Finding the Fourth Proportional to 460.90, 687.74 and 458.20

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Solution

The fourth proportional to 460.90, 687.74 and 458.20 is: 683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 687.74 = 458.20 : x
  2. Step 2: Convert to fraction form
    460.90/687.74 = 458.20/x
  3. Step 3: Cross multiply
    460.90x = 687.74 × 458.20
  4. Step 4: Simplify right side
    460.90x = 315,122.47
  5. Step 5: Solve for x
    x = 315,122.47/460.90
  6. Step 6: Final answer
    x = 683.71

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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.