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Finding the Fourth Proportional to 470.82, 701.28 and 464.42

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Solution

The fourth proportional to 470.82, 701.28 and 464.42 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 701.28 = 464.42 : x
  2. Step 2: Convert to fraction form
    470.82/701.28 = 464.42/x
  3. Step 3: Cross multiply
    470.82x = 701.28 × 464.42
  4. Step 4: Simplify right side
    470.82x = 325,688.46
  5. Step 5: Solve for x
    x = 325,688.46/470.82
  6. Step 6: Final answer
    x = 691.75

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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.