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Finding the Fourth Proportional to 460.24, 691.72 and 405.56

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Solution

The fourth proportional to 460.24, 691.72 and 405.56 is: 609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.24 : 691.72 = 405.56 : x
  2. Step 2: Convert to fraction form
    460.24/691.72 = 405.56/x
  3. Step 3: Cross multiply
    460.24x = 691.72 × 405.56
  4. Step 4: Simplify right side
    460.24x = 280,533.96
  5. Step 5: Solve for x
    x = 280,533.96/460.24
  6. Step 6: Final answer
    x = 609.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.