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Finding the Fourth Proportional to 460, 689.58 and 419.92

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Solution

The fourth proportional to 460, 689.58 and 419.92 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 689.58 = 419.92 : x
  2. Step 2: Convert to fraction form
    460/689.58 = 419.92/x
  3. Step 3: Cross multiply
    460x = 689.58 × 419.92
  4. Step 4: Simplify right side
    460x = 289,568.43
  5. Step 5: Solve for x
    x = 289,568.43/460
  6. Step 6: Final answer
    x = 629.50

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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.