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Finding the Fourth Proportional to 568.59, 783.71 and 402.59

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Solution

The fourth proportional to 568.59, 783.71 and 402.59 is: 554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.59 : 783.71 = 402.59 : x
  2. Step 2: Convert to fraction form
    568.59/783.71 = 402.59/x
  3. Step 3: Cross multiply
    568.59x = 783.71 × 402.59
  4. Step 4: Simplify right side
    568.59x = 315,507.88
  5. Step 5: Solve for x
    x = 315,507.88/568.59
  6. Step 6: Final answer
    x = 554.90

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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.