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Finding the Fourth Proportional to 568.56, 782.28 and 498.36

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Solution

The fourth proportional to 568.56, 782.28 and 498.36 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 782.28 = 498.36 : x
  2. Step 2: Convert to fraction form
    568.56/782.28 = 498.36/x
  3. Step 3: Cross multiply
    568.56x = 782.28 × 498.36
  4. Step 4: Simplify right side
    568.56x = 389,857.06
  5. Step 5: Solve for x
    x = 389,857.06/568.56
  6. Step 6: Final answer
    x = 685.69

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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.