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Finding the Fourth Proportional to 520.09, 718.64 and 416.03

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Solution

The fourth proportional to 520.09, 718.64 and 416.03 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 718.64 = 416.03 : x
  2. Step 2: Convert to fraction form
    520.09/718.64 = 416.03/x
  3. Step 3: Cross multiply
    520.09x = 718.64 × 416.03
  4. Step 4: Simplify right side
    520.09x = 298,975.52
  5. Step 5: Solve for x
    x = 298,975.52/520.09
  6. Step 6: Final answer
    x = 574.86

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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.