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Finding the Fourth Proportional to 705.62, 974.15 and 484.90

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Solution

The fourth proportional to 705.62, 974.15 and 484.90 is: 669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.62 : 974.15 = 484.90 : x
  2. Step 2: Convert to fraction form
    705.62/974.15 = 484.90/x
  3. Step 3: Cross multiply
    705.62x = 974.15 × 484.90
  4. Step 4: Simplify right side
    705.62x = 472,365.34
  5. Step 5: Solve for x
    x = 472,365.34/705.62
  6. Step 6: Final answer
    x = 669.43

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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.