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Finding the Fourth Proportional to 460.52, 687.61 and 419.48

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Solution

The fourth proportional to 460.52, 687.61 and 419.48 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 687.61 = 419.48 : x
  2. Step 2: Convert to fraction form
    460.52/687.61 = 419.48/x
  3. Step 3: Cross multiply
    460.52x = 687.61 × 419.48
  4. Step 4: Simplify right side
    460.52x = 288,438.64
  5. Step 5: Solve for x
    x = 288,438.64/460.52
  6. Step 6: Final answer
    x = 626.33

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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.