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Finding the Fourth Proportional to 705.03, 970.56 and 606.21

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Solution

The fourth proportional to 705.03, 970.56 and 606.21 is: 834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.03 : 970.56 = 606.21 : x
  2. Step 2: Convert to fraction form
    705.03/970.56 = 606.21/x
  3. Step 3: Cross multiply
    705.03x = 970.56 × 606.21
  4. Step 4: Simplify right side
    705.03x = 588,363.18
  5. Step 5: Solve for x
    x = 588,363.18/705.03
  6. Step 6: Final answer
    x = 834.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.