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Finding the Fourth Proportional to 757.76, 1,045.80 and 581.00

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Solution

The fourth proportional to 757.76, 1,045.80 and 581.00 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.76 : 1,045.80 = 581.00 : x
  2. Step 2: Convert to fraction form
    757.76/1,045.80 = 581.00/x
  3. Step 3: Cross multiply
    757.76x = 1,045.80 × 581.00
  4. Step 4: Simplify right side
    757.76x = 607,604.57
  5. Step 5: Solve for x
    x = 607,604.57/757.76
  6. Step 6: Final answer
    x = 801.85

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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.