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Finding the Fourth Proportional to 470.34, 701.73 and 463.05

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Solution

The fourth proportional to 470.34, 701.73 and 463.05 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 701.73 = 463.05 : x
  2. Step 2: Convert to fraction form
    470.34/701.73 = 463.05/x
  3. Step 3: Cross multiply
    470.34x = 701.73 × 463.05
  4. Step 4: Simplify right side
    470.34x = 324,936.08
  5. Step 5: Solve for x
    x = 324,936.08/470.34
  6. Step 6: Final answer
    x = 690.85

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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.