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Finding the Fourth Proportional to 569.57, 784.97 and 392.54

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Solution

The fourth proportional to 569.57, 784.97 and 392.54 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 784.97 = 392.54 : x
  2. Step 2: Convert to fraction form
    569.57/784.97 = 392.54/x
  3. Step 3: Cross multiply
    569.57x = 784.97 × 392.54
  4. Step 4: Simplify right side
    569.57x = 308,132.12
  5. Step 5: Solve for x
    x = 308,132.12/569.57
  6. Step 6: Final answer
    x = 540.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.