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Finding the Fourth Proportional to 705.60, 1,057.21 and 540.90

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Solution

The fourth proportional to 705.60, 1,057.21 and 540.90 is: 810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,057.21 = 540.90 : x
  2. Step 2: Convert to fraction form
    705.60/1,057.21 = 540.90/x
  3. Step 3: Cross multiply
    705.60x = 1,057.21 × 540.90
  4. Step 4: Simplify right side
    705.60x = 571,839.60
  5. Step 5: Solve for x
    x = 571,839.60/705.60
  6. Step 6: Final answer
    x = 810.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.