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Finding the Fourth Proportional to 524.32, 785.28 and 408.64

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Solution

The fourth proportional to 524.32, 785.28 and 408.64 is: 612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 785.28 = 408.64 : x
  2. Step 2: Convert to fraction form
    524.32/785.28 = 408.64/x
  3. Step 3: Cross multiply
    524.32x = 785.28 × 408.64
  4. Step 4: Simplify right side
    524.32x = 320,896.82
  5. Step 5: Solve for x
    x = 320,896.82/524.32
  6. Step 6: Final answer
    x = 612.02

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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.