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Finding the Fourth Proportional to 705.62, 1,057.62 and 380.54

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Solution

The fourth proportional to 705.62, 1,057.62 and 380.54 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.62 : 1,057.62 = 380.54 : x
  2. Step 2: Convert to fraction form
    705.62/1,057.62 = 380.54/x
  3. Step 3: Cross multiply
    705.62x = 1,057.62 × 380.54
  4. Step 4: Simplify right side
    705.62x = 402,466.71
  5. Step 5: Solve for x
    x = 402,466.71/705.62
  6. Step 6: Final answer
    x = 570.37

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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.