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Finding the Fourth Proportional to 512.80, 716.30 and 512.80

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Solution

The fourth proportional to 512.80, 716.30 and 512.80 is: 716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 716.30 = 512.80 : x
  2. Step 2: Convert to fraction form
    512.80/716.30 = 512.80/x
  3. Step 3: Cross multiply
    512.80x = 716.30 × 512.80
  4. Step 4: Simplify right side
    512.80x = 367,318.64
  5. Step 5: Solve for x
    x = 367,318.64/512.80
  6. Step 6: Final answer
    x = 716.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.