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Finding the Fourth Proportional to 568.39, 783.75 and 358.31

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Solution

The fourth proportional to 568.39, 783.75 and 358.31 is: 494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.39 : 783.75 = 358.31 : x
  2. Step 2: Convert to fraction form
    568.39/783.75 = 358.31/x
  3. Step 3: Cross multiply
    568.39x = 783.75 × 358.31
  4. Step 4: Simplify right side
    568.39x = 280,825.46
  5. Step 5: Solve for x
    x = 280,825.46/568.39
  6. Step 6: Final answer
    x = 494.07

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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.