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Finding the Fourth Proportional to 750.01, 1,034.88 and 418.39

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Solution

The fourth proportional to 750.01, 1,034.88 and 418.39 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.01 : 1,034.88 = 418.39 : x
  2. Step 2: Convert to fraction form
    750.01/1,034.88 = 418.39/x
  3. Step 3: Cross multiply
    750.01x = 1,034.88 × 418.39
  4. Step 4: Simplify right side
    750.01x = 432,978.27
  5. Step 5: Solve for x
    x = 432,978.27/750.01
  6. Step 6: Final answer
    x = 577.30

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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.