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Finding the Fourth Proportional to 684.68, 943.22 and 565.88

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Solution

The fourth proportional to 684.68, 943.22 and 565.88 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 943.22 = 565.88 : x
  2. Step 2: Convert to fraction form
    684.68/943.22 = 565.88/x
  3. Step 3: Cross multiply
    684.68x = 943.22 × 565.88
  4. Step 4: Simplify right side
    684.68x = 533,749.33
  5. Step 5: Solve for x
    x = 533,749.33/684.68
  6. Step 6: Final answer
    x = 779.56

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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.