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Finding the Fourth Proportional to 715.77, 985.43 and 674.75

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Solution

The fourth proportional to 715.77, 985.43 and 674.75 is: 928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.77 : 985.43 = 674.75 : x
  2. Step 2: Convert to fraction form
    715.77/985.43 = 674.75/x
  3. Step 3: Cross multiply
    715.77x = 985.43 × 674.75
  4. Step 4: Simplify right side
    715.77x = 664,923.04
  5. Step 5: Solve for x
    x = 664,923.04/715.77
  6. Step 6: Final answer
    x = 928.96

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Half scale
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Double scale
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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.