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Finding the Fourth Proportional to 749.02, 1,033.61 and 434.38

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Solution

The fourth proportional to 749.02, 1,033.61 and 434.38 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.02 : 1,033.61 = 434.38 : x
  2. Step 2: Convert to fraction form
    749.02/1,033.61 = 434.38/x
  3. Step 3: Cross multiply
    749.02x = 1,033.61 × 434.38
  4. Step 4: Simplify right side
    749.02x = 448,982.69
  5. Step 5: Solve for x
    x = 448,982.69/749.02
  6. Step 6: Final answer
    x = 599.43

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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.