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Finding the Fourth Proportional to 520.79, 784.82 and 496.08

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Solution

The fourth proportional to 520.79, 784.82 and 496.08 is: 747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.79 : 784.82 = 496.08 : x
  2. Step 2: Convert to fraction form
    520.79/784.82 = 496.08/x
  3. Step 3: Cross multiply
    520.79x = 784.82 × 496.08
  4. Step 4: Simplify right side
    520.79x = 389,334.75
  5. Step 5: Solve for x
    x = 389,334.75/520.79
  6. Step 6: Final answer
    x = 747.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.