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Finding the Fourth Proportional to 469.81, 703.79 and 263.76

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Solution

The fourth proportional to 469.81, 703.79 and 263.76 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.81 : 703.79 = 263.76 : x
  2. Step 2: Convert to fraction form
    469.81/703.79 = 263.76/x
  3. Step 3: Cross multiply
    469.81x = 703.79 × 263.76
  4. Step 4: Simplify right side
    469.81x = 185,628.13
  5. Step 5: Solve for x
    x = 185,628.13/469.81
  6. Step 6: Final answer
    x = 395.11

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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.