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Finding the Fourth Proportional to 750.34, 1,035.39 and 418.78

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Solution

The fourth proportional to 750.34, 1,035.39 and 418.78 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.34 : 1,035.39 = 418.78 : x
  2. Step 2: Convert to fraction form
    750.34/1,035.39 = 418.78/x
  3. Step 3: Cross multiply
    750.34x = 1,035.39 × 418.78
  4. Step 4: Simplify right side
    750.34x = 433,600.62
  5. Step 5: Solve for x
    x = 433,600.62/750.34
  6. Step 6: Final answer
    x = 577.87

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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.