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Finding the Fourth Proportional to 512.58, 764.91 and 457.89

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Solution

The fourth proportional to 512.58, 764.91 and 457.89 is: 683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 764.91 = 457.89 : x
  2. Step 2: Convert to fraction form
    512.58/764.91 = 457.89/x
  3. Step 3: Cross multiply
    512.58x = 764.91 × 457.89
  4. Step 4: Simplify right side
    512.58x = 350,244.64
  5. Step 5: Solve for x
    x = 350,244.64/512.58
  6. Step 6: Final answer
    x = 683.30

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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.