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Finding the Fourth Proportional to 568.47, 784.25 and 358.27

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Solution

The fourth proportional to 568.47, 784.25 and 358.27 is: 494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.47 : 784.25 = 358.27 : x
  2. Step 2: Convert to fraction form
    568.47/784.25 = 358.27/x
  3. Step 3: Cross multiply
    568.47x = 784.25 × 358.27
  4. Step 4: Simplify right side
    568.47x = 280,973.25
  5. Step 5: Solve for x
    x = 280,973.25/568.47
  6. Step 6: Final answer
    x = 494.26

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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.