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Finding the Fourth Proportional to 460.52, 634.02 and 412.84

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Solution

The fourth proportional to 460.52, 634.02 and 412.84 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 634.02 = 412.84 : x
  2. Step 2: Convert to fraction form
    460.52/634.02 = 412.84/x
  3. Step 3: Cross multiply
    460.52x = 634.02 × 412.84
  4. Step 4: Simplify right side
    460.52x = 261,748.82
  5. Step 5: Solve for x
    x = 261,748.82/460.52
  6. Step 6: Final answer
    x = 568.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.