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Finding the Fourth Proportional to 865.07, 1,297.70 and 345.05

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Solution

The fourth proportional to 865.07, 1,297.70 and 345.05 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.07 : 1,297.70 = 345.05 : x
  2. Step 2: Convert to fraction form
    865.07/1,297.70 = 345.05/x
  3. Step 3: Cross multiply
    865.07x = 1,297.70 × 345.05
  4. Step 4: Simplify right side
    865.07x = 447,771.39
  5. Step 5: Solve for x
    x = 447,771.39/865.07
  6. Step 6: Final answer
    x = 517.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.