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Finding the Fourth Proportional to 705.59, 1,057.45 and 397.29

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Solution

The fourth proportional to 705.59, 1,057.45 and 397.29 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 1,057.45 = 397.29 : x
  2. Step 2: Convert to fraction form
    705.59/1,057.45 = 397.29/x
  3. Step 3: Cross multiply
    705.59x = 1,057.45 × 397.29
  4. Step 4: Simplify right side
    705.59x = 420,114.31
  5. Step 5: Solve for x
    x = 420,114.31/705.59
  6. Step 6: Final answer
    x = 595.41

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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.