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Finding the Fourth Proportional to 705.85, 1,057.70 and 340.20

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Solution

The fourth proportional to 705.85, 1,057.70 and 340.20 is: 509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.85 : 1,057.70 = 340.20 : x
  2. Step 2: Convert to fraction form
    705.85/1,057.70 = 340.20/x
  3. Step 3: Cross multiply
    705.85x = 1,057.70 × 340.20
  4. Step 4: Simplify right side
    705.85x = 359,830.39
  5. Step 5: Solve for x
    x = 359,830.39/705.85
  6. Step 6: Final answer
    x = 509.78

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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.