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Finding the Fourth Proportional to 469.81, 703.79 and 313.68

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Solution

The fourth proportional to 469.81, 703.79 and 313.68 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.81 : 703.79 = 313.68 : x
  2. Step 2: Convert to fraction form
    469.81/703.79 = 313.68/x
  3. Step 3: Cross multiply
    469.81x = 703.79 × 313.68
  4. Step 4: Simplify right side
    469.81x = 220,764.85
  5. Step 5: Solve for x
    x = 220,764.85/469.81
  6. Step 6: Final answer
    x = 469.90

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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.