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Finding the Fourth Proportional to 750.21, 1,034.82 and 488.22

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Solution

The fourth proportional to 750.21, 1,034.82 and 488.22 is: 673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.21 : 1,034.82 = 488.22 : x
  2. Step 2: Convert to fraction form
    750.21/1,034.82 = 488.22/x
  3. Step 3: Cross multiply
    750.21x = 1,034.82 × 488.22
  4. Step 4: Simplify right side
    750.21x = 505,219.82
  5. Step 5: Solve for x
    x = 505,219.82/750.21
  6. Step 6: Final answer
    x = 673.44

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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.