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Finding the Fourth Proportional to 749.37, 1,033.99 and 434.65

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Solution

The fourth proportional to 749.37, 1,033.99 and 434.65 is: 599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.37 : 1,033.99 = 434.65 : x
  2. Step 2: Convert to fraction form
    749.37/1,033.99 = 434.65/x
  3. Step 3: Cross multiply
    749.37x = 1,033.99 × 434.65
  4. Step 4: Simplify right side
    749.37x = 449,423.75
  5. Step 5: Solve for x
    x = 449,423.75/749.37
  6. Step 6: Final answer
    x = 599.74

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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.