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Finding the Fourth Proportional to 705.34, 1,057.60 and 271.99

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Solution

The fourth proportional to 705.34, 1,057.60 and 271.99 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,057.60 = 271.99 : x
  2. Step 2: Convert to fraction form
    705.34/1,057.60 = 271.99/x
  3. Step 3: Cross multiply
    705.34x = 1,057.60 × 271.99
  4. Step 4: Simplify right side
    705.34x = 287,649.98
  5. Step 5: Solve for x
    x = 287,649.98/705.34
  6. Step 6: Final answer
    x = 407.82

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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.