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Finding the Fourth Proportional to 512.42, 765.36 and 463.59

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Solution

The fourth proportional to 512.42, 765.36 and 463.59 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 765.36 = 463.59 : x
  2. Step 2: Convert to fraction form
    512.42/765.36 = 463.59/x
  3. Step 3: Cross multiply
    512.42x = 765.36 × 463.59
  4. Step 4: Simplify right side
    512.42x = 354,813.24
  5. Step 5: Solve for x
    x = 354,813.24/512.42
  6. Step 6: Final answer
    x = 692.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.