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Finding the Fourth Proportional to 684.92, 945.62 and 475.02

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Solution

The fourth proportional to 684.92, 945.62 and 475.02 is: 655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 945.62 = 475.02 : x
  2. Step 2: Convert to fraction form
    684.92/945.62 = 475.02/x
  3. Step 3: Cross multiply
    684.92x = 945.62 × 475.02
  4. Step 4: Simplify right side
    684.92x = 449,184.27
  5. Step 5: Solve for x
    x = 449,184.27/684.92
  6. Step 6: Final answer
    x = 655.82

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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.