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Finding the Fourth Proportional to 512.58, 765.30 and 435.58

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Solution

The fourth proportional to 512.58, 765.30 and 435.58 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 765.30 = 435.58 : x
  2. Step 2: Convert to fraction form
    512.58/765.30 = 435.58/x
  3. Step 3: Cross multiply
    512.58x = 765.30 × 435.58
  4. Step 4: Simplify right side
    512.58x = 333,346.64
  5. Step 5: Solve for x
    x = 333,346.64/512.58
  6. Step 6: Final answer
    x = 650.33

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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.