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Finding the Fourth Proportional to 470.93, 706.75 and 324.37

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Solution

The fourth proportional to 470.93, 706.75 and 324.37 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 706.75 = 324.37 : x
  2. Step 2: Convert to fraction form
    470.93/706.75 = 324.37/x
  3. Step 3: Cross multiply
    470.93x = 706.75 × 324.37
  4. Step 4: Simplify right side
    470.93x = 229,248.57
  5. Step 5: Solve for x
    x = 229,248.57/470.93
  6. Step 6: Final answer
    x = 486.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.