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Finding the Fourth Proportional to 475.20, 708.96 and 414.45

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Solution

The fourth proportional to 475.20, 708.96 and 414.45 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 708.96 = 414.45 : x
  2. Step 2: Convert to fraction form
    475.20/708.96 = 414.45/x
  3. Step 3: Cross multiply
    475.20x = 708.96 × 414.45
  4. Step 4: Simplify right side
    475.20x = 293,828.47
  5. Step 5: Solve for x
    x = 293,828.47/475.20
  6. Step 6: Final answer
    x = 618.33

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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.