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Finding the Fourth Proportional to 705.98, 974.60 and 496.34

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Solution

The fourth proportional to 705.98, 974.60 and 496.34 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 974.60 = 496.34 : x
  2. Step 2: Convert to fraction form
    705.98/974.60 = 496.34/x
  3. Step 3: Cross multiply
    705.98x = 974.60 × 496.34
  4. Step 4: Simplify right side
    705.98x = 483,730.76
  5. Step 5: Solve for x
    x = 483,730.76/705.98
  6. Step 6: Final answer
    x = 685.19

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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.