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Finding the Fourth Proportional to 684.82, 938.47 and 619.21

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Solution

The fourth proportional to 684.82, 938.47 and 619.21 is: 848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 938.47 = 619.21 : x
  2. Step 2: Convert to fraction form
    684.82/938.47 = 619.21/x
  3. Step 3: Cross multiply
    684.82x = 938.47 × 619.21
  4. Step 4: Simplify right side
    684.82x = 581,110.01
  5. Step 5: Solve for x
    x = 581,110.01/684.82
  6. Step 6: Final answer
    x = 848.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.