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Finding the Fourth Proportional to 512.70, 772.01 and 383.60

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Solution

The fourth proportional to 512.70, 772.01 and 383.60 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 772.01 = 383.60 : x
  2. Step 2: Convert to fraction form
    512.70/772.01 = 383.60/x
  3. Step 3: Cross multiply
    512.70x = 772.01 × 383.60
  4. Step 4: Simplify right side
    512.70x = 296,137.26
  5. Step 5: Solve for x
    x = 296,137.26/512.70
  6. Step 6: Final answer
    x = 577.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.