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Finding the Fourth Proportional to 685.46, 1,026.40 and 453.64

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Solution

The fourth proportional to 685.46, 1,026.40 and 453.64 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 1,026.40 = 453.64 : x
  2. Step 2: Convert to fraction form
    685.46/1,026.40 = 453.64/x
  3. Step 3: Cross multiply
    685.46x = 1,026.40 × 453.64
  4. Step 4: Simplify right side
    685.46x = 465,616.10
  5. Step 5: Solve for x
    x = 465,616.10/685.46
  6. Step 6: Final answer
    x = 679.28

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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.