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Finding the Fourth Proportional to 569.78, 782.88 and 453.14

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Solution

The fourth proportional to 569.78, 782.88 and 453.14 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 782.88 = 453.14 : x
  2. Step 2: Convert to fraction form
    569.78/782.88 = 453.14/x
  3. Step 3: Cross multiply
    569.78x = 782.88 × 453.14
  4. Step 4: Simplify right side
    569.78x = 354,754.24
  5. Step 5: Solve for x
    x = 354,754.24/569.78
  6. Step 6: Final answer
    x = 622.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.