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Finding the Fourth Proportional to 568.78, 784.88 and 348.10

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Solution

The fourth proportional to 568.78, 784.88 and 348.10 is: 480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 784.88 = 348.10 : x
  2. Step 2: Convert to fraction form
    568.78/784.88 = 348.10/x
  3. Step 3: Cross multiply
    568.78x = 784.88 × 348.10
  4. Step 4: Simplify right side
    568.78x = 273,216.73
  5. Step 5: Solve for x
    x = 273,216.73/568.78
  6. Step 6: Final answer
    x = 480.36

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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.