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Finding the Fourth Proportional to 705.20, 1,057.52 and 272.40

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Solution

The fourth proportional to 705.20, 1,057.52 and 272.40 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,057.52 = 272.40 : x
  2. Step 2: Convert to fraction form
    705.20/1,057.52 = 272.40/x
  3. Step 3: Cross multiply
    705.20x = 1,057.52 × 272.40
  4. Step 4: Simplify right side
    705.20x = 288,068.45
  5. Step 5: Solve for x
    x = 288,068.45/705.20
  6. Step 6: Final answer
    x = 408.49

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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.