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Finding the Fourth Proportional to 568.27, 783.84 and 402.49

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Solution

The fourth proportional to 568.27, 783.84 and 402.49 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 783.84 = 402.49 : x
  2. Step 2: Convert to fraction form
    568.27/783.84 = 402.49/x
  3. Step 3: Cross multiply
    568.27x = 783.84 × 402.49
  4. Step 4: Simplify right side
    568.27x = 315,487.76
  5. Step 5: Solve for x
    x = 315,487.76/568.27
  6. Step 6: Final answer
    x = 555.17

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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.