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Finding the Fourth Proportional to 705.96, 974.82 and 669.72

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Solution

The fourth proportional to 705.96, 974.82 and 669.72 is: 924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 974.82 = 669.72 : x
  2. Step 2: Convert to fraction form
    705.96/974.82 = 669.72/x
  3. Step 3: Cross multiply
    705.96x = 974.82 × 669.72
  4. Step 4: Simplify right side
    705.96x = 652,856.45
  5. Step 5: Solve for x
    x = 652,856.45/705.96
  6. Step 6: Final answer
    x = 924.78

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1.5x scale

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.