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Finding the Fourth Proportional to 520.40, 716.28 and 364.88

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Solution

The fourth proportional to 520.40, 716.28 and 364.88 is: 502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 716.28 = 364.88 : x
  2. Step 2: Convert to fraction form
    520.40/716.28 = 364.88/x
  3. Step 3: Cross multiply
    520.40x = 716.28 × 364.88
  4. Step 4: Simplify right side
    520.40x = 261,356.25
  5. Step 5: Solve for x
    x = 261,356.25/520.40
  6. Step 6: Final answer
    x = 502.22

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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.