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Finding the Fourth Proportional to 684.92, 1,022.57 and 620.35

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Solution

The fourth proportional to 684.92, 1,022.57 and 620.35 is: 926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,022.57 = 620.35 : x
  2. Step 2: Convert to fraction form
    684.92/1,022.57 = 620.35/x
  3. Step 3: Cross multiply
    684.92x = 1,022.57 × 620.35
  4. Step 4: Simplify right side
    684.92x = 634,351.30
  5. Step 5: Solve for x
    x = 634,351.30/684.92
  6. Step 6: Final answer
    x = 926.17

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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.