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Finding the Fourth Proportional to 751.44, 1,039.01 and 659.19

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Solution

The fourth proportional to 751.44, 1,039.01 and 659.19 is: 911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.44 : 1,039.01 = 659.19 : x
  2. Step 2: Convert to fraction form
    751.44/1,039.01 = 659.19/x
  3. Step 3: Cross multiply
    751.44x = 1,039.01 × 659.19
  4. Step 4: Simplify right side
    751.44x = 684,901.71
  5. Step 5: Solve for x
    x = 684,901.71/751.44
  6. Step 6: Final answer
    x = 911.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.