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Finding the Fourth Proportional to 520.64, 780.74 and 191.48

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Solution

The fourth proportional to 520.64, 780.74 and 191.48 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 780.74 = 191.48 : x
  2. Step 2: Convert to fraction form
    520.64/780.74 = 191.48/x
  3. Step 3: Cross multiply
    520.64x = 780.74 × 191.48
  4. Step 4: Simplify right side
    520.64x = 149,496.10
  5. Step 5: Solve for x
    x = 149,496.10/520.64
  6. Step 6: Final answer
    x = 287.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.