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Finding the Fourth Proportional to 460.12, 685.06 and 453.64

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Solution

The fourth proportional to 460.12, 685.06 and 453.64 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 685.06 = 453.64 : x
  2. Step 2: Convert to fraction form
    460.12/685.06 = 453.64/x
  3. Step 3: Cross multiply
    460.12x = 685.06 × 453.64
  4. Step 4: Simplify right side
    460.12x = 310,767.19
  5. Step 5: Solve for x
    x = 310,767.19/460.12
  6. Step 6: Final answer
    x = 675.41

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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.