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Finding the Fourth Proportional to 520.32, 717.28 and 409.59

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Solution

The fourth proportional to 520.32, 717.28 and 409.59 is: 564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 717.28 = 409.59 : x
  2. Step 2: Convert to fraction form
    520.32/717.28 = 409.59/x
  3. Step 3: Cross multiply
    520.32x = 717.28 × 409.59
  4. Step 4: Simplify right side
    520.32x = 293,790.72
  5. Step 5: Solve for x
    x = 293,790.72/520.32
  6. Step 6: Final answer
    x = 564.63

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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.