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Finding the Fourth Proportional to 473.82, 713.99 and 469.86

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Solution

The fourth proportional to 473.82, 713.99 and 469.86 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.82 : 713.99 = 469.86 : x
  2. Step 2: Convert to fraction form
    473.82/713.99 = 469.86/x
  3. Step 3: Cross multiply
    473.82x = 713.99 × 469.86
  4. Step 4: Simplify right side
    473.82x = 335,472.99
  5. Step 5: Solve for x
    x = 335,472.99/473.82
  6. Step 6: Final answer
    x = 708.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.