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Finding the Fourth Proportional to 684.20, 944.48 and 475.06

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Solution

The fourth proportional to 684.20, 944.48 and 475.06 is: 655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 944.48 = 475.06 : x
  2. Step 2: Convert to fraction form
    684.20/944.48 = 475.06/x
  3. Step 3: Cross multiply
    684.20x = 944.48 × 475.06
  4. Step 4: Simplify right side
    684.20x = 448,684.67
  5. Step 5: Solve for x
    x = 448,684.67/684.20
  6. Step 6: Final answer
    x = 655.78

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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.