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Finding the Fourth Proportional to 513.12, 765.40 and 464.48

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Solution

The fourth proportional to 513.12, 765.40 and 464.48 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 765.40 = 464.48 : x
  2. Step 2: Convert to fraction form
    513.12/765.40 = 464.48/x
  3. Step 3: Cross multiply
    513.12x = 765.40 × 464.48
  4. Step 4: Simplify right side
    513.12x = 355,512.99
  5. Step 5: Solve for x
    x = 355,512.99/513.12
  6. Step 6: Final answer
    x = 692.85

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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.