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Finding the Fourth Proportional to 705.22, 972.62 and 483.82

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Solution

The fourth proportional to 705.22, 972.62 and 483.82 is: 667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 972.62 = 483.82 : x
  2. Step 2: Convert to fraction form
    705.22/972.62 = 483.82/x
  3. Step 3: Cross multiply
    705.22x = 972.62 × 483.82
  4. Step 4: Simplify right side
    705.22x = 470,573.01
  5. Step 5: Solve for x
    x = 470,573.01/705.22
  6. Step 6: Final answer
    x = 667.27

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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.