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Finding the Fourth Proportional to 680.84, 938.46 and 459.40

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Solution

The fourth proportional to 680.84, 938.46 and 459.40 is: 633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 938.46 = 459.40 : x
  2. Step 2: Convert to fraction form
    680.84/938.46 = 459.40/x
  3. Step 3: Cross multiply
    680.84x = 938.46 × 459.40
  4. Step 4: Simplify right side
    680.84x = 431,129.70
  5. Step 5: Solve for x
    x = 431,129.70/680.84
  6. Step 6: Final answer
    x = 633.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.