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Finding the Fourth Proportional to 684.39, 944.28 and 509.43

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Solution

The fourth proportional to 684.39, 944.28 and 509.43 is: 702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 944.28 = 509.43 : x
  2. Step 2: Convert to fraction form
    684.39/944.28 = 509.43/x
  3. Step 3: Cross multiply
    684.39x = 944.28 × 509.43
  4. Step 4: Simplify right side
    684.39x = 481,044.56
  5. Step 5: Solve for x
    x = 481,044.56/684.39
  6. Step 6: Final answer
    x = 702.88

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Double scale
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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.