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Finding the Fourth Proportional to 521.17, 784.83 and 453.50

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Solution

The fourth proportional to 521.17, 784.83 and 453.50 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.17 : 784.83 = 453.50 : x
  2. Step 2: Convert to fraction form
    521.17/784.83 = 453.50/x
  3. Step 3: Cross multiply
    521.17x = 784.83 × 453.50
  4. Step 4: Simplify right side
    521.17x = 355,922.99
  5. Step 5: Solve for x
    x = 355,922.99/521.17
  6. Step 6: Final answer
    x = 682.93

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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.