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Finding the Fourth Proportional to 757.85, 1,045.55 and 443.06

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Solution

The fourth proportional to 757.85, 1,045.55 and 443.06 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.85 : 1,045.55 = 443.06 : x
  2. Step 2: Convert to fraction form
    757.85/1,045.55 = 443.06/x
  3. Step 3: Cross multiply
    757.85x = 1,045.55 × 443.06
  4. Step 4: Simplify right side
    757.85x = 463,233.94
  5. Step 5: Solve for x
    x = 463,233.94/757.85
  6. Step 6: Final answer
    x = 611.25

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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.