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Finding the Fourth Proportional to 568.58, 783.24 and 494.76

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Solution

The fourth proportional to 568.58, 783.24 and 494.76 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.58 : 783.24 = 494.76 : x
  2. Step 2: Convert to fraction form
    568.58/783.24 = 494.76/x
  3. Step 3: Cross multiply
    568.58x = 783.24 × 494.76
  4. Step 4: Simplify right side
    568.58x = 387,515.82
  5. Step 5: Solve for x
    x = 387,515.82/568.58
  6. Step 6: Final answer
    x = 681.56

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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.