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Finding the Fourth Proportional to 568.57, 784.31 and 391.51

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Solution

The fourth proportional to 568.57, 784.31 and 391.51 is: 540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.57 : 784.31 = 391.51 : x
  2. Step 2: Convert to fraction form
    568.57/784.31 = 391.51/x
  3. Step 3: Cross multiply
    568.57x = 784.31 × 391.51
  4. Step 4: Simplify right side
    568.57x = 307,065.21
  5. Step 5: Solve for x
    x = 307,065.21/568.57
  6. Step 6: Final answer
    x = 540.07

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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.