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Finding the Fourth Proportional to 471.72, 705.96 and 460.92

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Solution

The fourth proportional to 471.72, 705.96 and 460.92 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 705.96 = 460.92 : x
  2. Step 2: Convert to fraction form
    471.72/705.96 = 460.92/x
  3. Step 3: Cross multiply
    471.72x = 705.96 × 460.92
  4. Step 4: Simplify right side
    471.72x = 325,391.08
  5. Step 5: Solve for x
    x = 325,391.08/471.72
  6. Step 6: Final answer
    x = 689.80

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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.