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Finding the Fourth Proportional to 757.85, 1,045.85 and 443.34

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Solution

The fourth proportional to 757.85, 1,045.85 and 443.34 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.85 : 1,045.85 = 443.34 : x
  2. Step 2: Convert to fraction form
    757.85/1,045.85 = 443.34/x
  3. Step 3: Cross multiply
    757.85x = 1,045.85 × 443.34
  4. Step 4: Simplify right side
    757.85x = 463,664.92
  5. Step 5: Solve for x
    x = 463,664.92/757.85
  6. Step 6: Final answer
    x = 611.82

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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.