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Finding the Fourth Proportional to 470.44, 701.69 and 456.04

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Solution

The fourth proportional to 470.44, 701.69 and 456.04 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 701.69 = 456.04 : x
  2. Step 2: Convert to fraction form
    470.44/701.69 = 456.04/x
  3. Step 3: Cross multiply
    470.44x = 701.69 × 456.04
  4. Step 4: Simplify right side
    470.44x = 319,998.71
  5. Step 5: Solve for x
    x = 319,998.71/470.44
  6. Step 6: Final answer
    x = 680.21

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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.