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Finding the Fourth Proportional to 568.58, 790.09 and 562.64

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Solution

The fourth proportional to 568.58, 790.09 and 562.64 is: 781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.58 : 790.09 = 562.64 : x
  2. Step 2: Convert to fraction form
    568.58/790.09 = 562.64/x
  3. Step 3: Cross multiply
    568.58x = 790.09 × 562.64
  4. Step 4: Simplify right side
    568.58x = 444,533.42
  5. Step 5: Solve for x
    x = 444,533.42/568.58
  6. Step 6: Final answer
    x = 781.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.