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Finding the Fourth Proportional to 611.40, 843.96 and 464.40

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Solution

The fourth proportional to 611.40, 843.96 and 464.40 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.40 : 843.96 = 464.40 : x
  2. Step 2: Convert to fraction form
    611.40/843.96 = 464.40/x
  3. Step 3: Cross multiply
    611.40x = 843.96 × 464.40
  4. Step 4: Simplify right side
    611.40x = 391,935.02
  5. Step 5: Solve for x
    x = 391,935.02/611.40
  6. Step 6: Final answer
    x = 641.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.