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Finding the Fourth Proportional to 750.33, 1,035.45 and 418.75

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Solution

The fourth proportional to 750.33, 1,035.45 and 418.75 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.33 : 1,035.45 = 418.75 : x
  2. Step 2: Convert to fraction form
    750.33/1,035.45 = 418.75/x
  3. Step 3: Cross multiply
    750.33x = 1,035.45 × 418.75
  4. Step 4: Simplify right side
    750.33x = 433,594.69
  5. Step 5: Solve for x
    x = 433,594.69/750.33
  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.