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Finding the Fourth Proportional to 507.69, 764.39 and 462.94

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Solution

The fourth proportional to 507.69, 764.39 and 462.94 is: 697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 764.39 = 462.94 : x
  2. Step 2: Convert to fraction form
    507.69/764.39 = 462.94/x
  3. Step 3: Cross multiply
    507.69x = 764.39 × 462.94
  4. Step 4: Simplify right side
    507.69x = 353,865.95
  5. Step 5: Solve for x
    x = 353,865.95/507.69
  6. Step 6: Final answer
    x = 697.01

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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.