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Finding the Fourth Proportional to 568.09, 784.18 and 358.22

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Solution

The fourth proportional to 568.09, 784.18 and 358.22 is: 494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.09 : 784.18 = 358.22 : x
  2. Step 2: Convert to fraction form
    568.09/784.18 = 358.22/x
  3. Step 3: Cross multiply
    568.09x = 784.18 × 358.22
  4. Step 4: Simplify right side
    568.09x = 280,909.45
  5. Step 5: Solve for x
    x = 280,909.45/568.09
  6. Step 6: Final answer
    x = 494.48

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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.