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Finding the Fourth Proportional to 568.05, 783.77 and 358.28

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Solution

The fourth proportional to 568.05, 783.77 and 358.28 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 783.77 = 358.28 : x
  2. Step 2: Convert to fraction form
    568.05/783.77 = 358.28/x
  3. Step 3: Cross multiply
    568.05x = 783.77 × 358.28
  4. Step 4: Simplify right side
    568.05x = 280,809.12
  5. Step 5: Solve for x
    x = 280,809.12/568.05
  6. Step 6: Final answer
    x = 494.34

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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.