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Finding the Fourth Proportional to 705.35, 1,057.28 and 339.90

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Solution

The fourth proportional to 705.35, 1,057.28 and 339.90 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.35 : 1,057.28 = 339.90 : x
  2. Step 2: Convert to fraction form
    705.35/1,057.28 = 339.90/x
  3. Step 3: Cross multiply
    705.35x = 1,057.28 × 339.90
  4. Step 4: Simplify right side
    705.35x = 359,367.77
  5. Step 5: Solve for x
    x = 359,367.77/705.35
  6. Step 6: Final answer
    x = 509.49

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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.