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Finding the Fourth Proportional to 520.60, 716.97 and 509.26

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Solution

The fourth proportional to 520.60, 716.97 and 509.26 is: 701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 716.97 = 509.26 : x
  2. Step 2: Convert to fraction form
    520.60/716.97 = 509.26/x
  3. Step 3: Cross multiply
    520.60x = 716.97 × 509.26
  4. Step 4: Simplify right side
    520.60x = 365,124.14
  5. Step 5: Solve for x
    x = 365,124.14/520.60
  6. Step 6: Final answer
    x = 701.35

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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.