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Finding the Fourth Proportional to 520.48, 716.79 and 509.14

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Solution

The fourth proportional to 520.48, 716.79 and 509.14 is: 701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 716.79 = 509.14 : x
  2. Step 2: Convert to fraction form
    520.48/716.79 = 509.14/x
  3. Step 3: Cross multiply
    520.48x = 716.79 × 509.14
  4. Step 4: Simplify right side
    520.48x = 364,944.79
  5. Step 5: Solve for x
    x = 364,944.79/520.48
  6. Step 6: Final answer
    x = 701.18

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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.