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Finding the Fourth Proportional to 705.50, 1,057.32 and 380.48

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Solution

The fourth proportional to 705.50, 1,057.32 and 380.48 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.50 : 1,057.32 = 380.48 : x
  2. Step 2: Convert to fraction form
    705.50/1,057.32 = 380.48/x
  3. Step 3: Cross multiply
    705.50x = 1,057.32 × 380.48
  4. Step 4: Simplify right side
    705.50x = 402,289.11
  5. Step 5: Solve for x
    x = 402,289.11/705.50
  6. Step 6: Final answer
    x = 570.22

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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.