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Finding the Fourth Proportional to 684.56, 1,022.56 and 451.52

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Solution

The fourth proportional to 684.56, 1,022.56 and 451.52 is: 674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 1,022.56 = 451.52 : x
  2. Step 2: Convert to fraction form
    684.56/1,022.56 = 451.52/x
  3. Step 3: Cross multiply
    684.56x = 1,022.56 × 451.52
  4. Step 4: Simplify right side
    684.56x = 461,706.29
  5. Step 5: Solve for x
    x = 461,706.29/684.56
  6. Step 6: Final answer
    x = 674.46

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1.5x scale

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.