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Finding the Fourth Proportional to 568.45, 783.33 and 410.81

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Solution

The fourth proportional to 568.45, 783.33 and 410.81 is: 566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 783.33 = 410.81 : x
  2. Step 2: Convert to fraction form
    568.45/783.33 = 410.81/x
  3. Step 3: Cross multiply
    568.45x = 783.33 × 410.81
  4. Step 4: Simplify right side
    568.45x = 321,794.34
  5. Step 5: Solve for x
    x = 321,794.34/568.45
  6. Step 6: Final answer
    x = 566.09

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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.