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Finding the Fourth Proportional to 703.99, 1,054.09 and 459.91

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Solution

The fourth proportional to 703.99, 1,054.09 and 459.91 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.99 : 1,054.09 = 459.91 : x
  2. Step 2: Convert to fraction form
    703.99/1,054.09 = 459.91/x
  3. Step 3: Cross multiply
    703.99x = 1,054.09 × 459.91
  4. Step 4: Simplify right side
    703.99x = 484,786.53
  5. Step 5: Solve for x
    x = 484,786.53/703.99
  6. Step 6: Final answer
    x = 688.63

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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.