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Finding the Fourth Proportional to 750.25, 1,035.44 and 488.49

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Solution

The fourth proportional to 750.25, 1,035.44 and 488.49 is: 674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.25 : 1,035.44 = 488.49 : x
  2. Step 2: Convert to fraction form
    750.25/1,035.44 = 488.49/x
  3. Step 3: Cross multiply
    750.25x = 1,035.44 × 488.49
  4. Step 4: Simplify right side
    750.25x = 505,802.09
  5. Step 5: Solve for x
    x = 505,802.09/750.25
  6. Step 6: Final answer
    x = 674.18

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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.