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Finding the Fourth Proportional to 705.59, 974.06 and 469.94

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Solution

The fourth proportional to 705.59, 974.06 and 469.94 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 974.06 = 469.94 : x
  2. Step 2: Convert to fraction form
    705.59/974.06 = 469.94/x
  3. Step 3: Cross multiply
    705.59x = 974.06 × 469.94
  4. Step 4: Simplify right side
    705.59x = 457,742.54
  5. Step 5: Solve for x
    x = 457,742.54/705.59
  6. Step 6: Final answer
    x = 648.74

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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.