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Finding the Fourth Proportional to 520.55, 717.53 and 409.85

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Solution

The fourth proportional to 520.55, 717.53 and 409.85 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.55 : 717.53 = 409.85 : x
  2. Step 2: Convert to fraction form
    520.55/717.53 = 409.85/x
  3. Step 3: Cross multiply
    520.55x = 717.53 × 409.85
  4. Step 4: Simplify right side
    520.55x = 294,074.03
  5. Step 5: Solve for x
    x = 294,074.03/520.55
  6. Step 6: Final answer
    x = 564.93

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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.