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Finding the Fourth Proportional to 460.54, 685.76 and 455.37

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Solution

The fourth proportional to 460.54, 685.76 and 455.37 is: 678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.54 : 685.76 = 455.37 : x
  2. Step 2: Convert to fraction form
    460.54/685.76 = 455.37/x
  3. Step 3: Cross multiply
    460.54x = 685.76 × 455.37
  4. Step 4: Simplify right side
    460.54x = 312,274.53
  5. Step 5: Solve for x
    x = 312,274.53/460.54
  6. Step 6: Final answer
    x = 678.06

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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.