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Finding the Fourth Proportional to 512.76, 707.52 and 338

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Solution

The fourth proportional to 512.76, 707.52 and 338 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 707.52 = 338 : x
  2. Step 2: Convert to fraction form
    512.76/707.52 = 338/x
  3. Step 3: Cross multiply
    512.76x = 707.52 × 338
  4. Step 4: Simplify right side
    512.76x = 239,140.07
  5. Step 5: Solve for x
    x = 239,140.07/512.76
  6. Step 6: Final answer
    x = 466.38

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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.