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Finding the Fourth Proportional to 705.38, 973.58 and 484.43

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Solution

The fourth proportional to 705.38, 973.58 and 484.43 is: 668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 973.58 = 484.43 : x
  2. Step 2: Convert to fraction form
    705.38/973.58 = 484.43/x
  3. Step 3: Cross multiply
    705.38x = 973.58 × 484.43
  4. Step 4: Simplify right side
    705.38x = 471,624.07
  5. Step 5: Solve for x
    x = 471,624.07/705.38
  6. Step 6: Final answer
    x = 668.61

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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.