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Finding the Fourth Proportional to 568.42, 783.88 and 358.46

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Solution

The fourth proportional to 568.42, 783.88 and 358.46 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 783.88 = 358.46 : x
  2. Step 2: Convert to fraction form
    568.42/783.88 = 358.46/x
  3. Step 3: Cross multiply
    568.42x = 783.88 × 358.46
  4. Step 4: Simplify right side
    568.42x = 280,987.75
  5. Step 5: Solve for x
    x = 280,987.75/568.42
  6. Step 6: Final answer
    x = 494.33

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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.