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Finding the Fourth Proportional to 512.19, 706.86 and 315.72

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Solution

The fourth proportional to 512.19, 706.86 and 315.72 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.86 = 315.72 : x
  2. Step 2: Convert to fraction form
    512.19/706.86 = 315.72/x
  3. Step 3: Cross multiply
    512.19x = 706.86 × 315.72
  4. Step 4: Simplify right side
    512.19x = 223,169.84
  5. Step 5: Solve for x
    x = 223,169.84/512.19
  6. Step 6: Final answer
    x = 435.72

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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.