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Finding the Fourth Proportional to 684.18, 943.56 and 487.80

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Solution

The fourth proportional to 684.18, 943.56 and 487.80 is: 672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.18 : 943.56 = 487.80 : x
  2. Step 2: Convert to fraction form
    684.18/943.56 = 487.80/x
  3. Step 3: Cross multiply
    684.18x = 943.56 × 487.80
  4. Step 4: Simplify right side
    684.18x = 460,268.57
  5. Step 5: Solve for x
    x = 460,268.57/684.18
  6. Step 6: Final answer
    x = 672.73

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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.