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Finding the Fourth Proportional to 750.38, 1,035.21 and 498.42

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Solution

The fourth proportional to 750.38, 1,035.21 and 498.42 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.38 : 1,035.21 = 498.42 : x
  2. Step 2: Convert to fraction form
    750.38/1,035.21 = 498.42/x
  3. Step 3: Cross multiply
    750.38x = 1,035.21 × 498.42
  4. Step 4: Simplify right side
    750.38x = 515,969.37
  5. Step 5: Solve for x
    x = 515,969.37/750.38
  6. Step 6: Final answer
    x = 687.62

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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.