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Finding the Fourth Proportional to 475.08, 708.94 and 420.41

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Solution

The fourth proportional to 475.08, 708.94 and 420.41 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.08 : 708.94 = 420.41 : x
  2. Step 2: Convert to fraction form
    475.08/708.94 = 420.41/x
  3. Step 3: Cross multiply
    475.08x = 708.94 × 420.41
  4. Step 4: Simplify right side
    475.08x = 298,041.92
  5. Step 5: Solve for x
    x = 298,041.92/475.08
  6. Step 6: Final answer
    x = 627.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.