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Finding the Fourth Proportional to 749.99, 1,034.97 and 418.41

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Solution

The fourth proportional to 749.99, 1,034.97 and 418.41 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.99 : 1,034.97 = 418.41 : x
  2. Step 2: Convert to fraction form
    749.99/1,034.97 = 418.41/x
  3. Step 3: Cross multiply
    749.99x = 1,034.97 × 418.41
  4. Step 4: Simplify right side
    749.99x = 433,041.80
  5. Step 5: Solve for x
    x = 433,041.80/749.99
  6. Step 6: Final answer
    x = 577.40

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1.5x scale

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.