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Finding the Fourth Proportional to 464.67, 700.65 and 411.21

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Solution

The fourth proportional to 464.67, 700.65 and 411.21 is: 620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 700.65 = 411.21 : x
  2. Step 2: Convert to fraction form
    464.67/700.65 = 411.21/x
  3. Step 3: Cross multiply
    464.67x = 700.65 × 411.21
  4. Step 4: Simplify right side
    464.67x = 288,114.29
  5. Step 5: Solve for x
    x = 288,114.29/464.67
  6. Step 6: Final answer
    x = 620.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.