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Finding the Fourth Proportional to 684.71, 945.08 and 422.58

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Solution

The fourth proportional to 684.71, 945.08 and 422.58 is: 583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.71 : 945.08 = 422.58 : x
  2. Step 2: Convert to fraction form
    684.71/945.08 = 422.58/x
  3. Step 3: Cross multiply
    684.71x = 945.08 × 422.58
  4. Step 4: Simplify right side
    684.71x = 399,371.98
  5. Step 5: Solve for x
    x = 399,371.98/684.71
  6. Step 6: Final answer
    x = 583.27

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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.