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Finding the Fourth Proportional to 520.75, 784.21 and 453.09

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Solution

The fourth proportional to 520.75, 784.21 and 453.09 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.75 : 784.21 = 453.09 : x
  2. Step 2: Convert to fraction form
    520.75/784.21 = 453.09/x
  3. Step 3: Cross multiply
    520.75x = 784.21 × 453.09
  4. Step 4: Simplify right side
    520.75x = 355,317.71
  5. Step 5: Solve for x
    x = 355,317.71/520.75
  6. Step 6: Final answer
    x = 682.32

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1.5x scale

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.