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Finding the Fourth Proportional to 471.69, 708.26 and 450.89

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Solution

The fourth proportional to 471.69, 708.26 and 450.89 is: 677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 708.26 = 450.89 : x
  2. Step 2: Convert to fraction form
    471.69/708.26 = 450.89/x
  3. Step 3: Cross multiply
    471.69x = 708.26 × 450.89
  4. Step 4: Simplify right side
    471.69x = 319,345.10
  5. Step 5: Solve for x
    x = 319,345.10/471.69
  6. Step 6: Final answer
    x = 677.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.